{"id":356,"date":"2022-04-08T06:00:10","date_gmt":"2022-04-08T06:00:10","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=356"},"modified":"2025-11-08T07:22:21","modified_gmt":"2025-11-08T07:22:21","slug":"w-3-area-of-compound-figures","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/w-3-area-of-compound-figures\/","title":{"rendered":"W.3 Area of compound figures"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Area of compound figures<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-d4d355b76dd54277399098c306fb7fdd\" style=\"color:#74008b\">key points :<\/p>\n\n\n\n<p class=\"has-large-font-size\">\ud83d\udcd8 <strong>Compound Figure<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>compound figure<\/strong> (or <strong>composite shape<\/strong>) is a shape made up of <strong>two or more simple shapes<\/strong>.<br>Example: Rectangle + Triangle, Square + Circle, etc.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\">\ud83e\udde9 <strong>Break Into Simple Shapes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To find the area easily, <strong>split the compound figure<\/strong> into simple shapes you already know:<br>\u2705 Square<br>\u2705 Rectangle<br>\u2705 Triangle<br>\u2705 Circle (if given)<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\">\ud83d\udcd0 <strong>Area Formulas You Must Know<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Shape<\/th><th>Formula<\/th><th>Emoji<\/th><\/tr><\/thead><tbody><tr><td>\u2b1b Rectangle<\/td><td>Area = Length \u00d7 Breadth<\/td><td>\ud83d\udccf\u00d7\ud83d\udccf<\/td><\/tr><tr><td>\u25fc\ufe0f Square<\/td><td>Area = Side \u00d7 Side<\/td><td>\ud83d\udd32<\/td><\/tr><tr><td>\ud83d\udd3a Triangle<\/td><td>Area = \u00bd \u00d7 Base \u00d7 Height<\/td><td>\u2716\ufe0f\u27972<\/td><\/tr><tr><td>\u26aa Circle*<\/td><td>Area = \u03c0 \u00d7 r\u00b2 (<em>use only if required at grade level<\/em>)<\/td><td>\ud83d\udd35<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-large-font-size\">\ud83d\udca1 <strong>Add or Subtract Areas<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If shapes are <strong>joined<\/strong>, <strong>add<\/strong> their areas \u2795<\/li>\n\n\n\n<li>If a part is <strong>cut out<\/strong>, <strong>subtract<\/strong> the removed area \u2796<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\">\ud83d\udd0d <strong>Steps to Find the Area of a Compound Figure<\/strong><\/p>\n\n\n\n<p>1\ufe0f\u20e3 <strong>Split<\/strong> the figure into smaller known shapes \ud83e\udde9<br>2\ufe0f\u20e3 <strong>Label<\/strong> the lengths clearly \u270d\ufe0f<br>3\ufe0f\u20e3 <strong>Write formula<\/strong> for each shape \ud83d\udcd8<br>4\ufe0f\u20e3 <strong>Find area<\/strong> of each part \ud83d\udd22<br>5\ufe0f\u20e3 <strong>Add or subtract<\/strong> the areas to get the <strong>total area<\/strong> \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\">\ud83c\udfaf <strong>Important Tips<\/strong><\/p>\n\n\n\n<p>\u2728 Convert all units to the <strong>same unit<\/strong> before calculation (cm, m).<br>\u2728 The final answer should be in <strong>square units<\/strong> (cm\u00b2, m\u00b2).<br>\u2728 Draw lines to separate shapes if needed\u2014this makes the problem easier! \u270f\ufe0f\ud83d\udccf<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udf08 <strong>Example (Simple)<\/strong><\/h3>\n\n\n\n<p>A figure is made of:<br>\ud83d\udccd 1 rectangle + 1 triangle<\/p>\n\n\n\n<p>\u27a1\ufe0f Find area of rectangle<br>\u27a1\ufe0f Find area of triangle<br>\u27a1\ufe0f Add them to get the total area \ud83c\udf89<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\u2705 <strong>Remember!<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Compound = Many Shapes Combined<\/strong> \ud83e\udde9<\/li>\n\n\n\n<li><strong>Area means the space inside<\/strong> a shape \ud83c\udf0d<\/li>\n\n\n\n<li>Use <strong>formulas + addition\/subtraction<\/strong> to find the total area \ud83e\uddee<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-3fefd20f8ce119a518e5f53333ab5486\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f7a0a0\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-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 has-link-color wp-elements-84ed39aa58cecde44d35b332ae73b9be\" style=\"color:#b00012\"><strong>\ud83d\udc49 What&nbsp;is the area of this&nbsp;figure?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-56.png\" alt=\"\" class=\"wp-image-9807\" style=\"width:420px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-56.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-56-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-56-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-56-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>__________ square centimetres<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide&nbsp;the figure into&nbsp;rectangles:<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"464\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-42-removebg-preview.png\" alt=\"\" class=\"wp-image-9310\" style=\"width:427px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-42-removebg-preview.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-42-removebg-preview-300x278.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Start with rectangle A. Rectangle A is 11 centimetres wide and 11 centimetres tall.<\/li>\n\n\n\n<li>Multiply: 1111=121<\/li>\n\n\n\n<li>The area of rectangle A is 121 cm2.<\/li>\n\n\n\n<li>Look at rectangle B. Rectangle B is 22 centimetres wide and 14 centimetres tall.<\/li>\n\n\n\n<li>Multiply: 2214=308<\/li>\n\n\n\n<li>The area of rectangle B is 308 cm2.<\/li>\n\n\n\n<li>Now add the areas of the two rectangles:<\/li>\n\n\n\n<li>121 cm2+308 cm2=429 cm2<\/li>\n\n\n\n<li>The area is 429 square centimetres.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#91f39c\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-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 has-link-color wp-elements-84ed39aa58cecde44d35b332ae73b9be\" style=\"color:#b00012\"><strong>\ud83d\udc49 What&nbsp;is the area of this&nbsp;figure?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-57.png\" alt=\"\" class=\"wp-image-9809\" style=\"width:392px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-57.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-57-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-57-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-57-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>_________square kilometres<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide&nbsp;the figure into&nbsp;rectangles:<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-44-removebg-preview.png\" alt=\"\" class=\"wp-image-9311\" style=\"width:321px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-44-removebg-preview.png 343w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-44-removebg-preview-206x300.png 206w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Start with rectangle A. Rectangle A is 17 kilometres wide and 13 kilometres tall.<\/li>\n\n\n\n<li>Multiply: 1713=221<\/li>\n\n\n\n<li>The area of rectangle A is 221 km2.<\/li>\n\n\n\n<li>Look at rectangle B. Rectangle B is 7 kilometres wide and 22 kilometres tall.<\/li>\n\n\n\n<li>Multiply: 722=154<\/li>\n\n\n\n<li>The area of rectangle B is 154 km2.<\/li>\n\n\n\n<li>Now add the areas of the two rectangles:<\/li>\n\n\n\n<li>221 km2+154 km2=375 km2<\/li>\n\n\n\n<li>The area is 375 square kilometres.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#a99cec\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-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 has-link-color wp-elements-84ed39aa58cecde44d35b332ae73b9be\" style=\"color:#b00012\"><strong>\ud83d\udc49 What&nbsp;is the area of this&nbsp;figure?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-58.png\" alt=\"\" class=\"wp-image-9811\" style=\"width:408px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-58.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-58-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-58-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-58-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>___________square millimetres<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide&nbsp;the figure into&nbsp;rectangles:<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"477\" height=\"429\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-46-removebg-preview.png\" alt=\"\" class=\"wp-image-9312\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-46-removebg-preview.png 477w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-46-removebg-preview-300x270.png 300w\" sizes=\"auto, (max-width: 477px) 100vw, 477px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Start with rectangle A. Rectangle A is 5 millimetres wide and 23 millimetres tall.<\/li>\n\n\n\n<li>Multiply: 523=115<\/li>\n\n\n\n<li>The area of rectangle A is 115 mm2.<\/li>\n\n\n\n<li>Look at rectangle B. Rectangle B is 17 millimetres wide and 4 millimetres tall.<\/li>\n\n\n\n<li>Multiply: 174=68<\/li>\n\n\n\n<li>The area of rectangle B is 68 mm2.<\/li>\n\n\n\n<li>Now add the areas of the two rectangles:<\/li>\n\n\n\n<li>115 mm2+68 mm2=183 mm2<\/li>\n\n\n\n<li>The area is 183 square millimetres.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-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\/101539\/622\/803\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-144.png\" alt=\"\" class=\"wp-image-5908\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-144.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-144-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-144-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-144-400x400.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\/36026\/314\/118\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-150.png\" alt=\"\" class=\"wp-image-5909\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-150.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-150-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-150-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-150-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Area of compound figures key points : \ud83d\udcd8 Compound Figure \ud83e\udde9 Break Into Simple Shapes \ud83d\udcd0 Area Formulas You Must Know Shape Formula Emoji \u2b1b Rectangle Area = Length \u00d7 Breadth \ud83d\udccf\u00d7\ud83d\udccf \u25fc\ufe0f Square Area = Side \u00d7 Side \ud83d\udd32 \ud83d\udd3a Triangle Area = \u00bd \u00d7 Base \u00d7 Height \u2716\ufe0f\u27972 \u26aa Circle* Area = \u03c0<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/w-3-area-of-compound-figures\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.3 Area of compound figures&#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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-356","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/356","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=356"}],"version-history":[{"count":12,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/356\/revisions"}],"predecessor-version":[{"id":17328,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/356\/revisions\/17328"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}