{"id":232,"date":"2022-08-16T19:56:22","date_gmt":"2022-08-16T23:56:22","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/math022\/chapter\/perimeter\/"},"modified":"2025-07-10T15:39:56","modified_gmt":"2025-07-10T19:39:56","slug":"perimeter","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/math022\/chapter\/perimeter\/","title":{"raw":"Topic E: Perimeter","rendered":"Topic E: Perimeter"},"content":{"raw":"Perimeter is from the Greek language. Peri means \"around\". Perimeter is the distance around something. If you walked around the outside of your building, you would have walked close to the perimeter of the building. (The actual perimeter would be the outside wall which is a little tricky to walk on!) A fence around a field is at the perimeter of the field. In this sense, we are using perimeter to mean \"the outside edge\". The length of the entire fence is the measure of the perimeter.\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example A<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nPicture yourself going for a walk, starting at the door of your building.\r\n\r\n<img class=\"aligncenter wp-image-216 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2022\/08\/Picture119.png\" alt=\"walk 200m, turn and walk 100 m, turn and walk 100 m, turn and walk 200 m, turn and walk 200 m, turn and walk 100 m, turn and walk 100 m, turn and walk 200 m, \" width=\"446\" height=\"298\" \/>\r\n\r\nYour walk was in the shape of an octagon. How far did you walk? When you add together all the distances, you get 1 200 m.\r\n\r\nYou have just found the perimeter of an octagon.\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example B<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nThe new memorial park was built in an interesting shape. The park is a hexagon. A walking path goes around the perimeter of the park.\r\n\r\nHow long is the path?\r\n\r\n<img class=\"aligncenter wp-image-217 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture128.png\" alt=\"length of the sides of the hexagon: 220m, 160m, 100m, 220m 100m, 160m.\" width=\"373\" height=\"262\" \/>\r\n\r\nAdd the measure of each side of the park. The perimeter of this hexagon is 960 m.\r\n\r\n<\/div>\r\n<\/div>\r\nTo find the perimeter of a polygon, add the lengths of all the sides together.\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise One<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nFind the perimeter of each figure. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li><img class=\"aligncenter wp-image-218 size-medium\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture131-300x174.png\" alt=\"a triangle whose sides are 75km, 65km, 95km\" width=\"300\" height=\"174\" \/><\/li>\r\n \t<li><img class=\"aligncenter wp-image-219 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture132.png\" alt=\"a hexagon whose sides are all 80m\" width=\"272\" height=\"213\" \/><\/li>\r\n \t<li><img class=\"aligncenter wp-image-220 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture133.png\" alt=\"a parallelogram whose sides are 8km, 10 km, 8 km, 10 km\" width=\"301\" height=\"152\" \/><\/li>\r\n \t<li><img class=\"aligncenter wp-image-221 size-medium\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture134-300x140.png\" alt=\"a rectangle whose length is 12 km, width is 3 km\" width=\"300\" height=\"140\" \/><\/li>\r\n \t<li><img class=\"aligncenter wp-image-222 size-medium\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture135-300x230.png\" alt=\"a decagon whose sides are 400m, 300m, 300m, 100m, 200m, 200m, 500m, 200m, 400m, 800m\" width=\"300\" height=\"230\" \/><\/li>\r\n<\/ol>\r\n<strong>Answers to Exercise One<\/strong>\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li>235 metres<\/li>\r\n \t<li>480 metres<\/li>\r\n \t<li>36 kilometres<\/li>\r\n \t<li>30 kilometres<\/li>\r\n \t<li>3<span style=\"margin-left: 0.25em\">400<\/span> kilometres<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<h1>Finding the Perimeter of a Square<\/h1>\r\nWrite the definition of a square.\r\n\r\nBy definition then, a square has four sides that are all congruent (have the same measure). To find the perimeter you can add the four sides.\r\n\r\n<img class=\"aligncenter wp-image-223 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture136.png\" alt=\"a square whose sides are 8 cm\" width=\"129\" height=\"105\" \/>\r\n\r\nPerimeter = 8 cm + 8 cm + 8 cm + 8 cm = 32 cm\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise Two<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nFind the perimeter of the squares described in each question. The measure of one side has been given. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li>s = 75 m\r\np = 75 m + 75 m + 75 m + 75 m\r\np =<\/li>\r\n \t<li>s = 12 m\r\np =<\/li>\r\n \t<li>s = 100 km\r\np =<\/li>\r\n \t<li>s = 50 cm\r\np =<\/li>\r\n \t<li>s = 130 m\r\np =<\/li>\r\n \t<li>s = 1 000 km\r\np =<\/li>\r\n \t<li>s = 165 m\r\np =<\/li>\r\n \t<li>s = 325 m\r\np =<\/li>\r\n \t<li>s = 68 cm\r\np =<\/li>\r\n \t<li>s = 85 mm\r\np =<\/li>\r\n<\/ol>\r\n<strong>Answers to Exercise Two<\/strong>\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li>300 metres<\/li>\r\n \t<li>48 metres<\/li>\r\n \t<li>400 kilometres<\/li>\r\n \t<li>200 centimetres<\/li>\r\n \t<li>520 metres<\/li>\r\n \t<li>4<span style=\"margin-left: 0.25em\">000<\/span> kilometres<\/li>\r\n \t<li>660 metres<\/li>\r\n \t<li>1<span style=\"margin-left: 0.25em\">300<\/span> metres<\/li>\r\n \t<li>272 centimetres<\/li>\r\n \t<li>340 millimetres<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<h1>Problems using the Perimeters of Squares<\/h1>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example C<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nTed needs to build a fence around his swimming pool. The swimming pool with its deck is a square shape that measures 35 m per side. How much fencing must Ted buy?\r\n\r\n<strong>Step 1:<\/strong> Question.\r\n\r\nHow much fencing must Ted buy?\r\n\r\n<strong>Step 2:<\/strong> Find the needed information\u2014drawing a sketch is often helpful.\r\n\r\n<img class=\"aligncenter wp-image-224 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture137.png\" alt=\"a square whose sides are 35m\" width=\"142\" height=\"125\" \/>\r\n\r\n- fence around a square pool s = 35m\r\n\r\n<strong>Step 3:<\/strong> Operations.\r\n\r\nThe fence is a perimeter, so find the perimeter of a square.\r\n\r\nP = 35 m + 35 m + 35 m + 35 m\r\n\r\nP = 140 m of fence Ted must buy 140 m of fencing.\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise Three<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nSolve these problems using perimeters of squares. The problems may need two operations. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.\r\n<ol type=\"a\">\r\n \t<li>The campground security officer walks around the outside of the campground four times every evening. The campground is 800 m square. How far does the officer walk in these patrols each night? Note: 800 m square is a common way of saying \"a square with sides that measure 800 m.\"<\/li>\r\n \t<li>Lee is going to install base boards in the recreation room he has built in his basement. The room is five metres square. The baseboard material is expensive, so he will be sure to deduct 1 m for each of the two doorways. How much baseboard material does he need to buy?<\/li>\r\n \t<li>Phil is going to fence his large 50 m square vegetable garden to keep the deer out. The fence will be made with four strands of barbed wire. How much barbed wire should Phil buy? The fence will look like this:\r\n<img class=\"alignnone size-full wp-image-225\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture138.png\" alt=\"\" width=\"263\" height=\"87\" \/><\/li>\r\n<\/ol>\r\n<strong>Answers to Exercise Three<\/strong>\r\n<ol type=\"a\">\r\n \t<li>12<span style=\"margin-left: 0.25em\">800<\/span> metres<\/li>\r\n \t<li>18 metres<\/li>\r\n \t<li>800 metres<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<h1>Finding the Perimeter of a Rectangle<\/h1>\r\nWrite the definition of a rectangle.\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example D<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n<img class=\"aligncenter wp-image-226 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture139.png\" alt=\"\" width=\"207\" height=\"67\" \/>\r\n\r\nlength (l) = 12 m\r\n\r\nwidth (w) = 3 m\r\n\r\nTo find the perimeter you can find the sum of 12 m + 3 m + 12 m + 3 m = 30 m\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example E<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nFind the perimeter of a rectangle 25 m long and 15 m wide.\r\n\r\n<img class=\"aligncenter wp-image-227 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture140.png\" alt=\"\" width=\"97\" height=\"108\" \/>\r\n\r\nP = 15 m + 25 m + 15 m + 25 m = 80 m\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise Four<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nFind the perimeter of the rectangles described below. Draw and label a sketch for each. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li>L = 10 cm\r\nw = 6 cm\r\np =<\/li>\r\n \t<li>L = 100 km\r\nw = 70 km\r\np =<\/li>\r\n \t<li>L = 15 mm\r\nw = 10 mm\r\np =<\/li>\r\n \t<li>L = 97 cm\r\nw = 35 cm\r\np =<\/li>\r\n \t<li>L = 400 km\r\nw = 100 km\r\np =<\/li>\r\n \t<li>L = 42 m\r\nw = 67 m\r\np =<\/li>\r\n \t<li>L = 132 m\r\nw = 76 m\r\np =<\/li>\r\n \t<li>L = 196 cm\r\nw = 28 cm\r\np =<\/li>\r\n<\/ol>\r\n<strong>Answers to Exercise Four<\/strong>\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li>32 centimetres<\/li>\r\n \t<li>340 kilometres<\/li>\r\n \t<li>50 millimetres<\/li>\r\n \t<li>264 centimetres<\/li>\r\n \t<li>1<span style=\"margin-left: 0.25em\">000<\/span> kilometres<\/li>\r\n \t<li>218 metres<\/li>\r\n \t<li>416 metres<\/li>\r\n \t<li>448 centimetres<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<h1>Problems using Perimeters of Rectangles<\/h1>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise Five<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nSolve these problems. Draw and label a sketch for each. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.\r\n<ol type=\"a\">\r\n \t<li>Janice plans to sew lace on the edge of a tablecloth that is 132 cm in width and 218 cm long. How much lace does she need?<\/li>\r\n \t<li>One physical education teacher starts each class by having everyone jog around the school 4 times. The school is rectangular (shaped like a rectangle) and 160 m long and 95 m wide. About how far do the students jog each class? Note: 160 m long and 95 m wide may be written as \"160 m by 95 m\".<\/li>\r\n \t<li>How many metres of baseboard are needed for a rectangular room 4 m by 3 m? Deduct 1 m for each of the two doorways.<\/li>\r\n \t<li>Dennis likes to cycle 30 km daily around a cycle path at a local park. The park is rectangular and measures 3 km in width and 5 km in length. How far does Dennis cycle if he rides around the park twice?<\/li>\r\n \t<li>Calculate the total amount of weather-stripping needed to go around these windows in a house.\r\n<ul>\r\n \t<li>3 windows each measuring 76 cm by 122 cm<\/li>\r\n \t<li>2 windows each measuring 152 cm by 135 cm<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>The Nuoris are going to replace the fascia board (the trim at the edge of a roof) with new pressure-treated cedar board. Their flat roof is 14 m by 12 m. How much fascia board is needed?<\/li>\r\n<\/ol>\r\n<strong>Answers to Exercise Five<\/strong>\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li>700 centimetres<\/li>\r\n \t<li>2 040 metres<\/li>\r\n \t<li>12 metres<\/li>\r\n \t<li>32 kilometres<\/li>\r\n \t<li>2<span style=\"margin-left: 0.25em\">336<\/span> centimetres<\/li>\r\n \t<li>52 metres<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<h1>Topic E: Self-Test<\/h1>\r\n<strong>Mark\u00a0 \u00a0 \/6\u00a0\u00a0\u00a0 Aim 5\/6<\/strong>\r\n<ol type=\"A\">\r\n \t<li>Find the perimeter of each shape. (4 marks)\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li><img class=\"aligncenter wp-image-228 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture141.png\" alt=\"a triangle whose sides are 9cm, 15cm, 18cm\" width=\"114\" height=\"136\" \/><\/li>\r\n \t<li><img class=\"aligncenter wp-image-229 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture142.png\" alt=\"a square whose sides are 43cm\" width=\"332\" height=\"256\" \/><\/li>\r\n \t<li><img class=\"aligncenter wp-image-230 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture143.png\" alt=\"a rectangle that is 3km long and 12 km wide\" width=\"391\" height=\"201\" \/><\/li>\r\n \t<li><img class=\"aligncenter wp-image-231 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture144.png\" alt=\"a pentagon whose sides are 5m, 4m, 8m, 6m, 6m\" width=\"136\" height=\"117\" \/><\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Word Problems. Draw and label a sketch for each. Be sure to include the units of measure in your answer. (2 mark)\r\n<ol type=\"a\">\r\n \t<li>How much chrome edging will Juanita need for a kitchen table 121 cm square?<\/li>\r\n \t<li>Than is going to frame a fabulous poster that is 100 cm by 70 cm. How much framing material should he buy?<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<h2>Answers to Topic E Self-Test<\/h2>\r\n<ol type=\"A\">\r\n \t<li>\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li>42 centimetres<\/li>\r\n \t<li>172 centimetres<\/li>\r\n \t<li>84 kilometres<\/li>\r\n \t<li>29 metres<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>\r\n<ol class=\"twocolumn\" type=\"a\">\r\n \t<li>484 centimetres<\/li>\r\n \t<li>340 centimetres<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>","rendered":"<p>Perimeter is from the Greek language. Peri means &#8220;around&#8221;. Perimeter is the distance around something. If you walked around the outside of your building, you would have walked close to the perimeter of the building. (The actual perimeter would be the outside wall which is a little tricky to walk on!) A fence around a field is at the perimeter of the field. In this sense, we are using perimeter to mean &#8220;the outside edge&#8221;. The length of the entire fence is the measure of the perimeter.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example A<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Picture yourself going for a walk, starting at the door of your building.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-216 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2022\/08\/Picture119.png\" alt=\"walk 200m, turn and walk 100 m, turn and walk 100 m, turn and walk 200 m, turn and walk 200 m, turn and walk 100 m, turn and walk 100 m, turn and walk 200 m,\" width=\"446\" height=\"298\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2022\/08\/Picture119.png 446w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2022\/08\/Picture119-300x200.png 300w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2022\/08\/Picture119-65x43.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2022\/08\/Picture119-225x150.png 225w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2022\/08\/Picture119-350x234.png 350w\" sizes=\"auto, (max-width: 446px) 100vw, 446px\" \/><\/p>\n<p>Your walk was in the shape of an octagon. How far did you walk? When you add together all the distances, you get 1 200 m.<\/p>\n<p>You have just found the perimeter of an octagon.<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example B<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>The new memorial park was built in an interesting shape. The park is a hexagon. A walking path goes around the perimeter of the park.<\/p>\n<p>How long is the path?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-217 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture128.png\" alt=\"length of the sides of the hexagon: 220m, 160m, 100m, 220m 100m, 160m.\" width=\"373\" height=\"262\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture128.png 373w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture128-300x211.png 300w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture128-65x46.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture128-225x158.png 225w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture128-350x246.png 350w\" sizes=\"auto, (max-width: 373px) 100vw, 373px\" \/><\/p>\n<p>Add the measure of each side of the park. The perimeter of this hexagon is 960 m.<\/p>\n<\/div>\n<\/div>\n<p>To find the perimeter of a polygon, add the lengths of all the sides together.<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise One<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Find the perimeter of each figure. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.<\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-218 size-medium\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture131-300x174.png\" alt=\"a triangle whose sides are 75km, 65km, 95km\" width=\"300\" height=\"174\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture131-300x174.png 300w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture131-65x38.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture131-225x130.png 225w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture131.png 351w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-219 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture132.png\" alt=\"a hexagon whose sides are all 80m\" width=\"272\" height=\"213\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture132.png 272w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture132-65x51.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture132-225x176.png 225w\" sizes=\"auto, (max-width: 272px) 100vw, 272px\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-220 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture133.png\" alt=\"a parallelogram whose sides are 8km, 10 km, 8 km, 10 km\" width=\"301\" height=\"152\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture133.png 301w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture133-65x33.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture133-225x114.png 225w\" sizes=\"auto, (max-width: 301px) 100vw, 301px\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-221 size-medium\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture134-300x140.png\" alt=\"a rectangle whose length is 12 km, width is 3 km\" width=\"300\" height=\"140\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture134-300x140.png 300w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture134-65x30.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture134-225x105.png 225w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture134.png 316w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-222 size-medium\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture135-300x230.png\" alt=\"a decagon whose sides are 400m, 300m, 300m, 100m, 200m, 200m, 500m, 200m, 400m, 800m\" width=\"300\" height=\"230\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture135-300x230.png 300w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture135-65x50.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture135-225x173.png 225w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture135.png 330w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/li>\n<\/ol>\n<p><strong>Answers to Exercise One<\/strong><\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>235 metres<\/li>\n<li>480 metres<\/li>\n<li>36 kilometres<\/li>\n<li>30 kilometres<\/li>\n<li>3<span style=\"margin-left: 0.25em\">400<\/span> kilometres<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Finding the Perimeter of a Square<\/h1>\n<p>Write the definition of a square.<\/p>\n<p>By definition then, a square has four sides that are all congruent (have the same measure). To find the perimeter you can add the four sides.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-223 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture136.png\" alt=\"a square whose sides are 8 cm\" width=\"129\" height=\"105\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture136.png 129w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture136-65x53.png 65w\" sizes=\"auto, (max-width: 129px) 100vw, 129px\" \/><\/p>\n<p>Perimeter = 8 cm + 8 cm + 8 cm + 8 cm = 32 cm<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Two<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Find the perimeter of the squares described in each question. The measure of one side has been given. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.<\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>s = 75 m<br \/>\np = 75 m + 75 m + 75 m + 75 m<br \/>\np =<\/li>\n<li>s = 12 m<br \/>\np =<\/li>\n<li>s = 100 km<br \/>\np =<\/li>\n<li>s = 50 cm<br \/>\np =<\/li>\n<li>s = 130 m<br \/>\np =<\/li>\n<li>s = 1 000 km<br \/>\np =<\/li>\n<li>s = 165 m<br \/>\np =<\/li>\n<li>s = 325 m<br \/>\np =<\/li>\n<li>s = 68 cm<br \/>\np =<\/li>\n<li>s = 85 mm<br \/>\np =<\/li>\n<\/ol>\n<p><strong>Answers to Exercise Two<\/strong><\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>300 metres<\/li>\n<li>48 metres<\/li>\n<li>400 kilometres<\/li>\n<li>200 centimetres<\/li>\n<li>520 metres<\/li>\n<li>4<span style=\"margin-left: 0.25em\">000<\/span> kilometres<\/li>\n<li>660 metres<\/li>\n<li>1<span style=\"margin-left: 0.25em\">300<\/span> metres<\/li>\n<li>272 centimetres<\/li>\n<li>340 millimetres<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Problems using the Perimeters of Squares<\/h1>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example C<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Ted needs to build a fence around his swimming pool. The swimming pool with its deck is a square shape that measures 35 m per side. How much fencing must Ted buy?<\/p>\n<p><strong>Step 1:<\/strong> Question.<\/p>\n<p>How much fencing must Ted buy?<\/p>\n<p><strong>Step 2:<\/strong> Find the needed information\u2014drawing a sketch is often helpful.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-224 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture137.png\" alt=\"a square whose sides are 35m\" width=\"142\" height=\"125\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture137.png 142w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture137-65x57.png 65w\" sizes=\"auto, (max-width: 142px) 100vw, 142px\" \/><\/p>\n<p>&#8211; fence around a square pool s = 35m<\/p>\n<p><strong>Step 3:<\/strong> Operations.<\/p>\n<p>The fence is a perimeter, so find the perimeter of a square.<\/p>\n<p>P = 35 m + 35 m + 35 m + 35 m<\/p>\n<p>P = 140 m of fence Ted must buy 140 m of fencing.<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Three<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Solve these problems using perimeters of squares. The problems may need two operations. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.<\/p>\n<ol type=\"a\">\n<li>The campground security officer walks around the outside of the campground four times every evening. The campground is 800 m square. How far does the officer walk in these patrols each night? Note: 800 m square is a common way of saying &#8220;a square with sides that measure 800 m.&#8221;<\/li>\n<li>Lee is going to install base boards in the recreation room he has built in his basement. The room is five metres square. The baseboard material is expensive, so he will be sure to deduct 1 m for each of the two doorways. How much baseboard material does he need to buy?<\/li>\n<li>Phil is going to fence his large 50 m square vegetable garden to keep the deer out. The fence will be made with four strands of barbed wire. How much barbed wire should Phil buy? The fence will look like this:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-225\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture138.png\" alt=\"\" width=\"263\" height=\"87\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture138.png 263w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture138-65x22.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture138-225x74.png 225w\" sizes=\"auto, (max-width: 263px) 100vw, 263px\" \/><\/li>\n<\/ol>\n<p><strong>Answers to Exercise Three<\/strong><\/p>\n<ol type=\"a\">\n<li>12<span style=\"margin-left: 0.25em\">800<\/span> metres<\/li>\n<li>18 metres<\/li>\n<li>800 metres<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Finding the Perimeter of a Rectangle<\/h1>\n<p>Write the definition of a rectangle.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example D<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-226 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture139.png\" alt=\"\" width=\"207\" height=\"67\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture139.png 207w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture139-65x21.png 65w\" sizes=\"auto, (max-width: 207px) 100vw, 207px\" \/><\/p>\n<p>length (l) = 12 m<\/p>\n<p>width (w) = 3 m<\/p>\n<p>To find the perimeter you can find the sum of 12 m + 3 m + 12 m + 3 m = 30 m<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example E<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Find the perimeter of a rectangle 25 m long and 15 m wide.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-227 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture140.png\" alt=\"\" width=\"97\" height=\"108\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture140.png 97w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture140-65x72.png 65w\" sizes=\"auto, (max-width: 97px) 100vw, 97px\" \/><\/p>\n<p>P = 15 m + 25 m + 15 m + 25 m = 80 m<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Four<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Find the perimeter of the rectangles described below. Draw and label a sketch for each. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.<\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>L = 10 cm<br \/>\nw = 6 cm<br \/>\np =<\/li>\n<li>L = 100 km<br \/>\nw = 70 km<br \/>\np =<\/li>\n<li>L = 15 mm<br \/>\nw = 10 mm<br \/>\np =<\/li>\n<li>L = 97 cm<br \/>\nw = 35 cm<br \/>\np =<\/li>\n<li>L = 400 km<br \/>\nw = 100 km<br \/>\np =<\/li>\n<li>L = 42 m<br \/>\nw = 67 m<br \/>\np =<\/li>\n<li>L = 132 m<br \/>\nw = 76 m<br \/>\np =<\/li>\n<li>L = 196 cm<br \/>\nw = 28 cm<br \/>\np =<\/li>\n<\/ol>\n<p><strong>Answers to Exercise Four<\/strong><\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>32 centimetres<\/li>\n<li>340 kilometres<\/li>\n<li>50 millimetres<\/li>\n<li>264 centimetres<\/li>\n<li>1<span style=\"margin-left: 0.25em\">000<\/span> kilometres<\/li>\n<li>218 metres<\/li>\n<li>416 metres<\/li>\n<li>448 centimetres<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Problems using Perimeters of Rectangles<\/h1>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Five<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Solve these problems. Draw and label a sketch for each. Be sure to include the units of measure in your answer. Check your work using the answer key at the end of the exercise.<\/p>\n<ol type=\"a\">\n<li>Janice plans to sew lace on the edge of a tablecloth that is 132 cm in width and 218 cm long. How much lace does she need?<\/li>\n<li>One physical education teacher starts each class by having everyone jog around the school 4 times. The school is rectangular (shaped like a rectangle) and 160 m long and 95 m wide. About how far do the students jog each class? Note: 160 m long and 95 m wide may be written as &#8220;160 m by 95 m&#8221;.<\/li>\n<li>How many metres of baseboard are needed for a rectangular room 4 m by 3 m? Deduct 1 m for each of the two doorways.<\/li>\n<li>Dennis likes to cycle 30 km daily around a cycle path at a local park. The park is rectangular and measures 3 km in width and 5 km in length. How far does Dennis cycle if he rides around the park twice?<\/li>\n<li>Calculate the total amount of weather-stripping needed to go around these windows in a house.\n<ul>\n<li>3 windows each measuring 76 cm by 122 cm<\/li>\n<li>2 windows each measuring 152 cm by 135 cm<\/li>\n<\/ul>\n<\/li>\n<li>The Nuoris are going to replace the fascia board (the trim at the edge of a roof) with new pressure-treated cedar board. Their flat roof is 14 m by 12 m. How much fascia board is needed?<\/li>\n<\/ol>\n<p><strong>Answers to Exercise Five<\/strong><\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>700 centimetres<\/li>\n<li>2 040 metres<\/li>\n<li>12 metres<\/li>\n<li>32 kilometres<\/li>\n<li>2<span style=\"margin-left: 0.25em\">336<\/span> centimetres<\/li>\n<li>52 metres<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Topic E: Self-Test<\/h1>\n<p><strong>Mark\u00a0 \u00a0 \/6\u00a0\u00a0\u00a0 Aim 5\/6<\/strong><\/p>\n<ol type=\"A\">\n<li>Find the perimeter of each shape. (4 marks)\n<ol class=\"twocolumn\" type=\"a\">\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-228 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture141.png\" alt=\"a triangle whose sides are 9cm, 15cm, 18cm\" width=\"114\" height=\"136\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture141.png 114w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture141-65x78.png 65w\" sizes=\"auto, (max-width: 114px) 100vw, 114px\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-229 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture142.png\" alt=\"a square whose sides are 43cm\" width=\"332\" height=\"256\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture142.png 332w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture142-300x231.png 300w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture142-65x50.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture142-225x173.png 225w\" sizes=\"auto, (max-width: 332px) 100vw, 332px\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-230 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture143.png\" alt=\"a rectangle that is 3km long and 12 km wide\" width=\"391\" height=\"201\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture143.png 391w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture143-300x154.png 300w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture143-65x33.png 65w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture143-225x116.png 225w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture143-350x180.png 350w\" sizes=\"auto, (max-width: 391px) 100vw, 391px\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-231 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture144.png\" alt=\"a pentagon whose sides are 5m, 4m, 8m, 6m, 6m\" width=\"136\" height=\"117\" srcset=\"https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture144.png 136w, https:\/\/pressbooks.bccampus.ca\/math022\/wp-content\/uploads\/sites\/2380\/2025\/01\/Picture144-65x56.png 65w\" sizes=\"auto, (max-width: 136px) 100vw, 136px\" \/><\/li>\n<\/ol>\n<\/li>\n<li>Word Problems. Draw and label a sketch for each. Be sure to include the units of measure in your answer. (2 mark)\n<ol type=\"a\">\n<li>How much chrome edging will Juanita need for a kitchen table 121 cm square?<\/li>\n<li>Than is going to frame a fabulous poster that is 100 cm by 70 cm. How much framing material should he buy?<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h2>Answers to Topic E Self-Test<\/h2>\n<ol type=\"A\">\n<li>\n<ol class=\"twocolumn\" type=\"a\">\n<li>42 centimetres<\/li>\n<li>172 centimetres<\/li>\n<li>84 kilometres<\/li>\n<li>29 metres<\/li>\n<\/ol>\n<\/li>\n<li>\n<ol class=\"twocolumn\" type=\"a\">\n<li>484 centimetres<\/li>\n<li>340 centimetres<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"author":999,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-232","chapter","type-chapter","status-publish","hentry"],"part":145,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/232","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/users\/999"}],"version-history":[{"count":3,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/232\/revisions"}],"predecessor-version":[{"id":313,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/232\/revisions\/313"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/parts\/145"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/232\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/media?parent=232"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapter-type?post=232"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/contributor?post=232"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/license?post=232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}