{"id":443,"date":"2022-04-12T10:36:15","date_gmt":"2022-04-12T10:36:15","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=443"},"modified":"2025-11-10T05:49:55","modified_gmt":"2025-11-10T05:49:55","slug":"w-2-area-of-rectangles-and-parallelograms","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/w-2-area-of-rectangles-and-parallelograms\/","title":{"rendered":"W.2 Area of rectangles and parallelograms"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d\"><strong> Area of rectangles and parallelograms<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#74008b\"><strong>key notes :<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Area of a Rectangle<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Definition<\/strong>: A rectangle is a quadrilateral with opposite sides equal and all angles equal to 90\u00b0.<\/p>\n\n\n\n<p><strong>Formula<\/strong>:<\/p>\n\n\n\n<p>Area&nbsp;of&nbsp;Rectangle=Length\u00d7Breadth<\/p>\n\n\n\n<p><strong>Explanation<\/strong>: The area is the amount of surface covered inside the rectangle.<\/p>\n\n\n\n<p><strong>Units<\/strong>: square units (cm\u00b2, m\u00b2, etc.).<\/p>\n\n\n\n<p>\u2705 <strong>Examples<\/strong>:<\/p>\n\n\n\n<p>A rectangle of length 12 cm and breadth 5 cm <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Are = 12\u00d75=60\u2009cm<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<p>A rectangle of length 8 m and breadth 3 m  <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area = 8\u00d73=24\u2009m<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Area of a Parallelogram<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Definition<\/strong>: A parallelogram is a quadrilateral with both pairs of opposite sides parallel and equal.<\/p>\n\n\n\n<p><strong>Formula<\/strong>:<\/p>\n\n\n\n<p>Area&nbsp;of&nbsp;Parallelogram=Base\u00d7Height<\/p>\n\n\n\n<p><strong>Note<\/strong>: The <strong>height<\/strong> is the perpendicular distance between the two parallel sides (not the slant side).<\/p>\n\n\n\n<p>\u2705 <strong>Examples<\/strong>:<\/p>\n\n\n\n<p>A parallelogram with base 10 cm and height 6 cm <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area=10\u00d76=60\u2009cm<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<p>A parallelogram with base 15 m and height 8 m <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area=15\u00d78=120\u2009m<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong>Key Differences<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-fixed-layout\"><thead><tr><th>Shape<\/th><th>Formula<\/th><th>Important Note<\/th><\/tr><\/thead><tbody><tr><td>Rectangle<\/td><td>Length \u00d7 Breadth<\/td><td>Sides are perpendicular<\/td><\/tr><tr><td>Parallelogram<\/td><td>Base \u00d7 Height<\/td><td>Height must be perpendicular to base<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong>Important Points<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>area of a parallelogram<\/strong> is equal to the area of a rectangle with the same base and height.<\/li>\n\n\n\n<li>Always check whether the given measurement is the <strong>perpendicular height<\/strong>, not the slant side.<\/li>\n\n\n\n<li>Units must be written (cm\u00b2, m\u00b2, etc.).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong><strong>Practice Questions<\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Find the area of a rectangle of length 14 cm and breadth 9 cm.<\/li>\n\n\n\n<li>A parallelogram has a base of 12 m and height of 7 m. Find its area.<\/li>\n\n\n\n<li>The area of a rectangle is 72 m\u00b2. If its length is 12 m, find its breadth.<\/li>\n\n\n\n<li>A parallelogram has sides 8 cm and 6 cm, with the height corresponding to base 8 cm being 5 cm. Find its area.<\/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-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#abf2da\"><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>What&nbsp;is the&nbsp;area?<\/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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading.png\" alt=\"\" class=\"wp-image-10281\" style=\"aspect-ratio:1;width:275px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>&nbsp;______ square&nbsp;millimetres<\/p>\n<\/div><\/div>\n\n\n\n<p>Find&nbsp;the base and height of the&nbsp;rectangle.<\/p>\n\n\n\n<p>base:&nbsp;8&nbsp;mm<\/p>\n\n\n\n<p>height:&nbsp;10&nbsp;mm<\/p>\n\n\n\n<p>Use&nbsp;these numbers in the&nbsp;formula.<\/p>\n\n\n\n<p>area=base<\/p>\n\n\n\n<p>height=8.10<\/p>\n\n\n\n<p>=80<\/p>\n\n\n\n<p>Now&nbsp;find the units. The lengths are measured in millimetres, so the area is measured in square&nbsp;millimetres.<\/p>\n\n\n\n<p>The&nbsp;area is&nbsp;80&nbsp;square&nbsp;millimetres.<\/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:#eeb1fd\"><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\"><strong>\u27a1\ufe0f What&nbsp;is the missing&nbsp;length?<\/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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-1.png\" alt=\"\" class=\"wp-image-10282\" style=\"width:273px;height:273px\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-1.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-1-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-1-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-1-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>area=2&nbsp;m<sup>2<\/sup><\/p>\n\n\n\n<p>w=&nbsp;______ metres<\/p>\n<\/div><\/div>\n\n\n\n<p>Find&nbsp;the base, height and area of the&nbsp;rectangle.<\/p>\n\n\n\n<p>base:&nbsp;w<\/p>\n\n\n\n<p>height:&nbsp;2&nbsp;m<\/p>\n\n\n\n<p>area:&nbsp;2&nbsp;m<sup>2<\/sup><\/p>\n\n\n\n<p>Use&nbsp;the&nbsp;formula:<\/p>\n\n\n\n<p>area=base . height<\/p>\n\n\n\n<p>2=w . 2<\/p>\n\n\n\n<p>1=w<\/p>\n\n\n\n<p>Now look for the units. The area is measured in square metres, so lengths are measured in metres. So, w=1 metre.<\/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:#b1b1f9\"><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\"><strong>\u27a1\ufe0f What&nbsp;is the&nbsp;area?<\/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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-2.png\" alt=\"\" class=\"wp-image-10283\" style=\"aspect-ratio:1;width:217px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-2.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-2-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-2-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Add-a-subheading-2-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>______ &nbsp;square&nbsp;metres<\/p>\n<\/div><\/div>\n\n\n\n<p>Find&nbsp;the base and height of the&nbsp;rectangle.<\/p>\n\n\n\n<p>base:&nbsp;7&nbsp;m<\/p>\n\n\n\n<p>height:&nbsp;8&nbsp;m<\/p>\n\n\n\n<p>Use&nbsp;these numbers in the&nbsp;formula.<\/p>\n\n\n\n<p>area = base . height<\/p>\n\n\n\n<p>=7 . 8<\/p>\n\n\n\n<p>=56<\/p>\n\n\n\n<p>Now find the units. The lengths are measured in metres, so the area is measured in square metres.<br>The area is 56 square metres.<\/p>\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\/101652\/748\/635\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-126.png\" alt=\"\" class=\"wp-image-6875\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-126.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-126-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-126-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-126-400x400.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\/101653\/072\/110\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-128.png\" alt=\"\" class=\"wp-image-6876\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-128.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-128-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-128-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-128-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Area of rectangles and parallelograms key notes : Area of a Rectangle Definition: A rectangle is a quadrilateral with opposite sides equal and all angles equal to 90\u00b0. Formula: Area&nbsp;of&nbsp;Rectangle=Length\u00d7Breadth Explanation: The area is the amount of surface covered inside the rectangle. Units: square units (cm\u00b2, m\u00b2, etc.). \u2705 Examples: A rectangle of length 12<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/w-2-area-of-rectangles-and-parallelograms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.2 Area of rectangles and parallelograms&#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-443","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443","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=443"}],"version-history":[{"count":20,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443\/revisions"}],"predecessor-version":[{"id":17551,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443\/revisions\/17551"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}