{"id":447,"date":"2022-04-12T10:36:51","date_gmt":"2022-04-12T10:36:51","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=447"},"modified":"2025-11-10T06:13:49","modified_gmt":"2025-11-10T06:13:49","slug":"w-4-area-and-perimeter-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/w-4-area-and-perimeter-word-problems\/","title":{"rendered":"W.4 Area and perimeter: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Area and perimeter: word problems<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAG2-_Tuxs8\/h2sHYzIEZxxaeQNXdSRPeA\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAG2-_Tuxs8&#x2F;h2sHYzIEZxxaeQNXdSRPeA&#x2F;watch?utm_content=DAG2-_Tuxs8&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Design<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>What is Perimeter?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Definition:<\/strong> The <strong>total length of the boundary<\/strong> of a 2D shape.<\/p>\n\n\n\n<p><strong>Units:<\/strong> cm, m, km, etc. (not squared).<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Formulas<\/strong>:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Rectangle<\/strong>: P=2\u00d7(L+B)<\/li>\n\n\n\n<li><strong>Square<\/strong>: P=4\u00d7side<\/li>\n\n\n\n<li><strong>Triangle<\/strong>: P=a+b+c<\/li>\n\n\n\n<li><strong>Circle (circumference):<\/strong> P=2\u03c0r<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>What is Area?<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Definition:<\/strong> The <strong>surface enclosed inside<\/strong> a 2D shape.<\/p>\n\n\n\n<p><strong>Units:<\/strong> cm\u00b2, m\u00b2, etc.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Formulas<\/strong>:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Rectangle<\/strong>: A=L\u00d7B<\/li>\n\n\n\n<li><strong>Square<\/strong>: A=side<sup>2<\/sup><\/li>\n\n\n\n<li><strong>Triangle<\/strong>: A=1\/2\u00d7base\u00d7height<\/li>\n\n\n\n<li><strong>Circle<\/strong>: A=\u03c0r<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong>Steps to Solve Word Problems<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Read carefully<\/strong> and identify whether the question is about <strong>area<\/strong> or <strong>perimeter<\/strong>.<\/li>\n\n\n\n<li><strong>Note down given values<\/strong> (length, breadth, radius, base, height, etc.).<\/li>\n\n\n\n<li><strong>Choose the correct formula<\/strong>.<\/li>\n\n\n\n<li><strong>Substitute values<\/strong> into the formula.<\/li>\n\n\n\n<li><strong>Write the answer with proper units<\/strong>.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong>Solved Examples<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Example 1:<\/strong> Rectangle<\/h3>\n\n\n\n<p>A rectangular garden is 15 m long and 10 m wide. Find its area and perimeter.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area = 15\u00d710=150\u2009m<sup>2<\/sup><\/li>\n\n\n\n<li>Perimeter = 2\u00d7(15+10)=50\u2009m <\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Example 2:<\/strong> Square<\/h3>\n\n\n\n<p>A square playground has a side of 20 m. Find its area and perimeter.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area = 20<sup>2<\/sup>=400\u2009m<sup>2<\/sup><\/li>\n\n\n\n<li>Perimeter = 4\u00d720=80\u2009m<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Example 3:<\/strong> Triangle<\/h3>\n\n\n\n<p>A triangular park has base 12 m and height 8 m. Find its area.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area = 1\/2\u00d712\u00d78=48\u2009m<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Example 4:<\/strong> Circle<\/h3>\n\n\n\n<p>A circular garden has radius 7 m. Find its area and perimeter (take \u03c0=3.14).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area = 3.14\u00d772=153.86\u2009m<sup>2<\/sup><\/li>\n\n\n\n<li>Perimeter = 2\u00d73.14\u00d77=43.96\u2009m<sup>2<\/sup> <\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong><strong>Practice Word Problems<\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>A rectangular room is 12 m long and 8 m wide. Find its area and perimeter.<\/li>\n\n\n\n<li>A square tile has side 15 cm. Find its area. How many such tiles are needed to cover a floor of size 3 m \u00d7 3 m?<\/li>\n\n\n\n<li>A triangle has base 10 cm and height 9 cm. Find its area.<\/li>\n\n\n\n<li>A circular park has diameter 14 m. Find its area and perimeter.<\/li>\n\n\n\n<li>The perimeter of a square is 48 cm. Find the area of the square.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong><strong>\ud83d\udccc <strong>Important Tip:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always check <strong>units<\/strong>. If dimensions are in different units (cm, m), convert them before solving.<\/li>\n\n\n\n<li><strong>Perimeter \u2192 linear units (cm, m)<\/strong><\/li>\n\n\n\n<li><strong>Area \u2192 square units (cm\u00b2, m\u00b2)<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-huge-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#c7b7ed\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f <strong>A square coffee shop has a perimeter of 76 metres. How long is each side of the coffee shop?<\/strong><\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\">\u200b&nbsp;<strong>______ metres<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>A square has 4 equal sides.<\/p>\n\n\n\n<p>Divide the perimeter by 4 to find the length of each side:<\/p>\n\n\n\n<p>76 \u00f7 4 = 19<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-48.png\" alt=\"\" class=\"wp-image-10290\" style=\"aspect-ratio:1;width:304px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-48.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-48-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-48-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-48-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Each side is 19 metres long.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#cffcd7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f <strong>A playing card is 6 centimetres wide and 10 centimetres tall. What is its area<\/strong>?<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\u200b&nbsp;______ square centimetres<\/strong><\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4.png\" alt=\"\" class=\"wp-image-5267\" style=\"aspect-ratio:1;width:284px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Multiply the height times the width:<\/p>\n\n\n\n<p>6 \u00d7 10 = 60<\/p>\n\n\n\n<p>The area is 60 square centimetres.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#ebf0bf\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f <strong>The perimeter of a square sticky note is 16 centimetres. How long is each side?<\/strong><\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\u200b&nbsp;________ centimetres<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>A square has 4 equal sides.<\/p>\n\n\n\n<p>Divide the perimeter by 4 to find the length of each side:<\/p>\n\n\n\n<p>16 \u00f7 4 = 4<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-49.png\" alt=\"\" class=\"wp-image-10291\" style=\"aspect-ratio:1;width:272px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-49.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-49-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-49-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-49-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Each side is 4 centimetres long.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/101653\/921\/542\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-128.png\" alt=\"\" class=\"wp-image-6881\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-128.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-128-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-128-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-128-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/101654\/365\/553\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-130.png\" alt=\"\" class=\"wp-image-6882\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-130.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-130-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-130-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-130-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Area and perimeter: word problems Design by Delta publications key notes : What is Perimeter? Definition: The total length of the boundary of a 2D shape. Units: cm, m, km, etc. (not squared). Formulas: What is Area? Definition: The surface enclosed inside a 2D shape. Units: cm\u00b2, m\u00b2, etc. Formulas: Steps to Solve Word Problems<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/w-4-area-and-perimeter-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.4 Area and perimeter: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-447","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/447","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=447"}],"version-history":[{"count":17,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/447\/revisions"}],"predecessor-version":[{"id":17555,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/447\/revisions\/17555"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=447"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}