{"id":358,"date":"2022-04-08T06:00:30","date_gmt":"2022-04-08T06:00:30","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=358"},"modified":"2025-11-08T11:07:59","modified_gmt":"2025-11-08T11:07:59","slug":"w-4-area-between-two-rectangles","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/w-4-area-between-two-rectangles\/","title":{"rendered":"W.4 Area between two rectangles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Area between two rectangles<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udfe6 Area Between Two Rectangles \ud83d\udcd0<\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">1\ufe0f\u20e3 What is Area?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Area<\/strong> = The space inside a shape.<\/li>\n\n\n\n<li>Formula for a rectangle:<\/li>\n<\/ul>\n\n\n\n<p>Area=Length\u00d7Breadth\u2009(A=l\u00d7b)\\text{Area} = \\text{Length} \\times \\text{Breadth} \\, (A = l \\times b) Area=Length\u00d7Breadth(A=l\u00d7b)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd8d\ufe0f Example: A rectangle 5\u202fcm \u00d7 3\u202fcm \u2192 Area = 5 \u00d7 3 = 15\u202fcm\u00b2 \u2705<\/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-large-font-size\">2\ufe0f\u20e3 Understanding \u201cArea Between Two Rectangles\u201d \ud83c\udfe0\u2796\ud83c\udfe0<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sometimes, we have <strong>one big rectangle<\/strong> and <strong>one smaller rectangle inside it<\/strong>.<\/li>\n\n\n\n<li>The <strong>area between them<\/strong> = Area of big rectangle \u2212 Area of small rectangle<\/li>\n<\/ul>\n\n\n\n<p>Area&nbsp;Between=Area&nbsp;of&nbsp;Big&nbsp;Rectangle\u2212Area&nbsp;of&nbsp;Small&nbsp;Rectangle\\text{Area Between} = \\text{Area of Big Rectangle} &#8211; \\text{Area of Small Rectangle}Area&nbsp;Between=Area&nbsp;of&nbsp;Big&nbsp;Rectangle\u2212Area&nbsp;of&nbsp;Small&nbsp;Rectangle<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83c\udfa8 Think of it like <strong>coloring the border around the smaller rectangle<\/strong>.<\/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-large-font-size\">3\ufe0f\u20e3 Steps to Find Area Between Two Rectangles \u270f\ufe0f<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Measure <strong>length and breadth<\/strong> of the big rectangle \ud83d\udccf<\/li>\n\n\n\n<li>Measure <strong>length and breadth<\/strong> of the small rectangle \ud83d\udcd0<\/li>\n\n\n\n<li>Calculate <strong>area of big rectangle<\/strong> Abig=l\u00d7bA_{big} = l \\times bAbig\u200b=l\u00d7b \ud83d\udfe9<\/li>\n\n\n\n<li>Calculate <strong>area of small rectangle<\/strong> Asmall=l\u00d7bA_{small} = l \\times bAsmall\u200b=l\u00d7b \ud83d\udfe6<\/li>\n\n\n\n<li>Subtract: Area&nbsp;Between=Abig\u2212Asmall\\text{Area Between} = A_{big} &#8211; A_{small}Area&nbsp;Between=Abig\u200b\u2212Asmall\u200b \u2796<\/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-large-font-size\">4\ufe0f\u20e3 Example \ud83c\udf1f<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Big rectangle: 10\u202fcm \u00d7 6\u202fcm \u2192 Area = 60\u202fcm\u00b2<\/li>\n\n\n\n<li>Small rectangle inside: 4\u202fcm \u00d7 3\u202fcm \u2192 Area = 12\u202fcm\u00b2<\/li>\n\n\n\n<li>Area between rectangles = 60 \u2212 12 = <strong>48\u202fcm\u00b2<\/strong> \u2705<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udca1 Tip: Always check units (cm\u00b2, m\u00b2, etc.)<\/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\">5\ufe0f\u20e3 Fun Visual Tip \ud83c\udfa8<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw the big rectangle in one color \ud83d\udfe9<\/li>\n\n\n\n<li>Draw the small rectangle inside in another color \ud83d\udfe6<\/li>\n\n\n\n<li>Shade the remaining part to see the <strong>area between<\/strong> clearly \u270f\ufe0f\u2728<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f4e799\"><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-0d0221c4f5a82659f0ca8245901000f5\" style=\"color:#b00012\"><strong>\u2708\ufe0f What&nbsp;is the area of the shaded&nbsp;region? <\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-59.png\" alt=\"\" class=\"wp-image-9815\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-59.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-59-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-59-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-59-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>_________square metres.<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To find the area of the shaded region, subtract the area of the inner shape from the area of the outer shape. Start by finding the area of the inner shape.<\/li>\n\n\n\n<li>Find the base and height of the inner rectangle.<\/li>\n\n\n\n<li>base: 7 m<\/li>\n\n\n\n<li>height: 6 m<\/li>\n\n\n\n<li>Use these numbers in the formula.<\/li>\n\n\n\n<li>inner area<\/li>\n\n\n\n<li>= base height<\/li>\n\n\n\n<li>= 76<\/li>\n\n\n\n<li>= 42<\/li>\n\n\n\n<li>Now find the units. The lengths are measured in metres, so the area is measured in square metres.<\/li>\n\n\n\n<li>The area of the inner rectangle is 42 square metres.<\/li>\n\n\n\n<li>Next, find the area of the outer shape.<\/li>\n\n\n\n<li>Find the base and height of the outer rectangle.<\/li>\n\n\n\n<li>base: 14 m<\/li>\n\n\n\n<li>height: 12 m<\/li>\n\n\n\n<li>Use these numbers in the formula.<\/li>\n\n\n\n<li>outer area<\/li>\n\n\n\n<li>= base height<\/li>\n\n\n\n<li>= 1412<\/li>\n\n\n\n<li>= 168<\/li>\n\n\n\n<li>As with the inner rectangle, the lengths of the outer rectangle are measured in metres. So, the area is measured in square metres.<\/li>\n\n\n\n<li>The area of the outer rectangle is 168 square metres.<\/li>\n\n\n\n<li>Finally, subtract the inner area from the outer area to find the area of the shaded region.<\/li>\n\n\n\n<li>shaded area<\/li>\n\n\n\n<li>= 168\u201342<\/li>\n\n\n\n<li>= 126<\/li>\n\n\n\n<li>The area of the shaded region is 126 square metres.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#a9bcf4\"><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-a5a030fb72b8b071429013dd72054158\" style=\"color:#b00012\"><strong>\u2708\ufe0f What&nbsp;is the area of the shaded&nbsp;region?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-60.png\" alt=\"\" class=\"wp-image-9818\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-60.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-60-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-60-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-60-400x400.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>To find the area of the shaded region, subtract the area of the inner shape from the area of the outer shape. Start by finding the area of the inner shape.<\/li>\n\n\n\n<li>Find the base and height of the inner rectangle.<\/li>\n\n\n\n<li>base: 7 mm<\/li>\n\n\n\n<li>height: 9 mm<\/li>\n\n\n\n<li>Use these numbers in the formula.<\/li>\n\n\n\n<li>inner area<\/li>\n\n\n\n<li>= base height<\/li>\n\n\n\n<li>= 79<\/li>\n\n\n\n<li>= 63<\/li>\n\n\n\n<li>Now find the units. The lengths are measured in millimetres, so the area is measured in square millimetres.<\/li>\n\n\n\n<li>The area of the inner rectangle is 63 square millimetres.<\/li>\n\n\n\n<li>Next, find the area of the outer shape.<\/li>\n\n\n\n<li>Find the base and height of the outer rectangle.<\/li>\n\n\n\n<li>base: 14 mm<\/li>\n\n\n\n<li>height: 18 mm<\/li>\n\n\n\n<li>Use these numbers in the formula.<\/li>\n\n\n\n<li>outer area<\/li>\n\n\n\n<li>= base height<\/li>\n\n\n\n<li>= 1418<\/li>\n\n\n\n<li>= 252<\/li>\n\n\n\n<li>As with the inner rectangle, the lengths of the outer rectangle are measured in millimetres. So, the area is measured in square millimetres.<\/li>\n\n\n\n<li>The area of the outer rectangle is 252 square millimetres.<\/li>\n\n\n\n<li>Finally, subtract the inner area from the outer area to find the area of the shaded region.<\/li>\n\n\n\n<li>shaded area<\/li>\n\n\n\n<li>= 252\u201363<\/li>\n\n\n\n<li>= 189<\/li>\n\n\n\n<li>The area of the shaded region is 189 square millimetres.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f4a1cb\"><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-a5a030fb72b8b071429013dd72054158\" style=\"color:#b00012\"><strong>\u2708\ufe0f What&nbsp;is the area of the shaded&nbsp;region?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-61.png\" alt=\"\" class=\"wp-image-9819\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-61.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-61-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-61-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-61-400x400.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>To find the area of the shaded region, subtract the area of the inner shape from the area of the outer shape. Start by finding the area of the inner shape.<\/li>\n\n\n\n<li>Find the base and height of the inner rectangle.<\/li>\n\n\n\n<li>base: 15 mm<\/li>\n\n\n\n<li>height: 5 mm<\/li>\n\n\n\n<li>Use these numbers in the formula.<\/li>\n\n\n\n<li>inner area<\/li>\n\n\n\n<li>= base height<\/li>\n\n\n\n<li>= 155<\/li>\n\n\n\n<li>= 75<\/li>\n\n\n\n<li>Now find the units. The lengths are measured in millimetres, so the area is measured in square millimetres.<\/li>\n\n\n\n<li>The area of the inner rectangle is 75 square millimetres.<\/li>\n\n\n\n<li>Next, find the area of the outer shape.<\/li>\n\n\n\n<li>Find the base and height of the outer rectangle.<\/li>\n\n\n\n<li>base: 20 mm<\/li>\n\n\n\n<li>height: 10 mm<\/li>\n\n\n\n<li>Use these numbers in the formula.<\/li>\n\n\n\n<li>outer area<\/li>\n\n\n\n<li>= base height<\/li>\n\n\n\n<li>= 2010<\/li>\n\n\n\n<li>= 200<\/li>\n\n\n\n<li>As with the inner rectangle, the lengths of the outer rectangle are measured in millimetres. So, the area is measured in square millimetres.<\/li>\n\n\n\n<li>The area of the outer rectangle is 200 square millimetres.<\/li>\n\n\n\n<li>Finally, subtract the inner area from the outer area to find the area of the shaded region.<\/li>\n\n\n\n<li>shaded area<\/li>\n\n\n\n<li>= 200\u201375<\/li>\n\n\n\n<li>= 125<\/li>\n\n\n\n<li>The area of the shaded region is 125 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\/101549\/623\/134\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-143.png\" alt=\"\" class=\"wp-image-5904\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-143.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-143-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-143-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-143-400x400.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\/558\/415\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-149.png\" alt=\"\" class=\"wp-image-5905\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-149.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-149-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-149-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-149-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Area between two rectangles Key Notes : \ud83d\udfe6 Area Between Two Rectangles \ud83d\udcd0 1\ufe0f\u20e3 What is Area? Area=Length\u00d7Breadth\u2009(A=l\u00d7b)\\text{Area} = \\text{Length} \\times \\text{Breadth} \\, (A = l \\times b) Area=Length\u00d7Breadth(A=l\u00d7b) 2\ufe0f\u20e3 Understanding \u201cArea Between Two Rectangles\u201d \ud83c\udfe0\u2796\ud83c\udfe0 Area&nbsp;Between=Area&nbsp;of&nbsp;Big&nbsp;Rectangle\u2212Area&nbsp;of&nbsp;Small&nbsp;Rectangle\\text{Area Between} = \\text{Area of Big Rectangle} &#8211; \\text{Area of Small Rectangle}Area&nbsp;Between=Area&nbsp;of&nbsp;Big&nbsp;Rectangle\u2212Area&nbsp;of&nbsp;Small&nbsp;Rectangle 3\ufe0f\u20e3 Steps to Find Area Between Two<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/w-4-area-between-two-rectangles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.4 Area between two rectangles&#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-358","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/358","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=358"}],"version-history":[{"count":14,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/358\/revisions"}],"predecessor-version":[{"id":17334,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/358\/revisions\/17334"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}