{"id":118444,"date":"2022-06-29T10:11:58","date_gmt":"2022-06-29T04:41:58","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=118444"},"modified":"2022-05-10T14:25:17","modified_gmt":"2022-05-10T08:55:17","slug":"word-problems-on-area-of-a-rectangle","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/word-problems-on-area-of-a-rectangle\/","title":{"rendered":"Word Problems on Area of a Rectangle | Area of a Rectangle Word Problems"},"content":{"rendered":"<p>Word Problems on Area of Rectangle provided develops mathematical interest among kids by relating the concept to real-life situations. You will find a variety of problems in finding the area of rectangular shapes in this article. Try solving the Area of a Rectangle Problems provided on a regular basis and get a good hold of the concept. Learn how to solve the problems by finding the rectangle area using the formula and try to apply the knowledge to solve related problems.<\/p>\n<p>Do check:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssanswers.com\/worksheet-on-area\/\">Worksheet on Area<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/find-the-area-of-the-shaded-region\/\">Find the Area of the Shaded Region<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/area-of-a-square\/\">Area of a Square<\/a><\/li>\n<\/ul>\n<p><strong>Example 1.<\/strong><br \/>\nFind the area of the rectangle of length 45 cm and width 20 cm?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-118595\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/07\/area-of-rectangle-example-1.jpg\" alt=\"area of rectangle example 1\" width=\"151\" height=\"108\" \/><br \/>\n<strong>Solution:<br \/>\n<\/strong>The length of the rectangle=45 cm<br \/>\nThe width of the rectangle=20 cm<br \/>\nThe area of the rectangle=45\u00d720=900<br \/>\nHence, the area of the rectangle is 900 cm<sup>2<\/sup>.<\/p>\n<p><strong>Example 2.<br \/>\n<\/strong>Find the area of the rectangular room of length 11 mm and width 18 mm?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-118596\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/07\/area-of-rectangle-example-2.jpg\" alt=\"area of rectangle example 2\" width=\"170\" height=\"125\" \/><br \/>\n<strong>Solution:<br \/>\n<\/strong>The length of the rectangular room=11 mm<br \/>\nThe width of the rectangular room=18 mm<br \/>\nThe area of the rectangular room=11\u00d718=198.<br \/>\nTherefore, the area of the rectangular room=198 sq mm.<\/p>\n<p><strong>Example 3.<br \/>\n<\/strong>Find the area of the rectangle of length 73 cm and width 28 cm?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-118597\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/07\/area-of-rectangle-example-3.jpg\" alt=\"area of rectangle example 3\" width=\"181\" height=\"131\" \/><br \/>\n<strong>Solution:<br \/>\n<\/strong>The length of the rectangle=73 cm<br \/>\nThe width of the rectangle=28 cm<br \/>\nThe area of the rectangle=73 \u00d7 28=2044.<br \/>\nTherefore, the area of the rectangle=2044 sq cm.<\/p>\n<p><strong>Example 4.<\/strong><br \/>\nThe area of the rectangle is 96 cm<sup>2<\/sup>. The length of the rectangle is 8 cm. Find the breadth of the rectangle?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-118598\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/07\/area-of-rectangle-example-4.jpg\" alt=\"area of rectangle example 4\" width=\"213\" height=\"155\" \/><br \/>\n<strong>Solution:<br \/>\n<\/strong>The area of the rectangle=96 cm<sup>2<\/sup><br \/>\nThe length of the rectangle=8 cm<br \/>\nThe breadth of the rectangle=area of the rectangle\/length of the rectangle<br \/>\n=96\/8=12<br \/>\nTherefore, the breadth of the rectangle is 12 cm.<\/p>\n<p><strong>Example 5.<br \/>\n<\/strong>The length of the rectangular cardboard is 6 cm, and the rectangular cardboard&#8217;s breadth is 9 cm. Find the area of the rectangular cardboard?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-118599\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/07\/area-of-rectangle-example-5.jpg\" alt=\"area of rectangle example 5\" width=\"168\" height=\"124\" \/><br \/>\n<strong>Solution:<br \/>\n<\/strong>The length of the rectangular cardboard =6 cm<br \/>\nThe breadth of the rectangular cardboard=9 cm<br \/>\nThe area of the rectangular cardboard=6 \u00d79=54 sq cm<br \/>\nHence, the area of the rectangular cardboard is 54 sq cm.<\/p>\n<p><strong>Example 6.<br \/>\n<\/strong>The length of the rectangle is 5 cm and the breadth of the rectangle is 7 cm. If the length is greater by 2 cm, what should be the width so that the new rectangle has the same area as that of the first one?<br \/>\n<strong>Solution:<br \/>\n<\/strong>The area of the first rectangle=5\u00d77=35sq cm<br \/>\nThe length of the new rectangle=5+2=7cm<br \/>\nThe breadth of the new rectangle=w \u00d7 7=35<br \/>\nw=35\/7=5<br \/>\nHence, the width of the new rectangle is 5 cm.<\/p>\n<p><strong>Example 7.<br \/>\n<\/strong>How many squares with the side of 4 cm cover the surface of a rectangle with a length of 16 cm and a width of 9 cm?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-118600\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/07\/area-of-rectangle-example-7.jpg\" alt=\"area of rectangle example 7\" width=\"193\" height=\"118\" \/><br \/>\n<strong>Solution:<br \/>\n<\/strong>The side of a square=4<br \/>\nThe area of a square=4<sup>2<\/sup>=16<br \/>\nThe length of the rectangle=16sq cm<br \/>\nThe width of a rectangle=9 cm<br \/>\nThe area of the rectangle=16 \u00d7 9=144 sq cm<br \/>\nThe no. of squares is 144\/16 =9<br \/>\nTherefore, 9 squares are required to cover the surface of the rectangle.<\/p>\n<p><strong>Example 8.<br \/>\n<\/strong>A square with a side of 8 cm and a rectangle with a width of 2 cm has the same area. What&#8217;s the length of the rectangle?<br \/>\n<strong>Solution:<br \/>\n<\/strong>The area of the square is 8<sup>2<\/sup>=64 sq cm<br \/>\nThe width of the rectangle=6<br \/>\nl \u00d7 2=64<br \/>\nl=64\/2=32<br \/>\nHence, the length of the rectangle is 32 cm.<\/p>\n<p><strong>Example 9.<br \/>\n<\/strong>The length of the rectangle is 5 cm and the breadth of the rectangle is 6 cm. If the length is smaller by 2 cm, what should be the width so that the new rectangle has the same area as that of the first one?<strong><br \/>\nSolution:<br \/>\n<\/strong>The area of the first rectangle=5\u00d76=30 sq cm<br \/>\nThe length of the new rectangle=5-2=3cm<br \/>\nThe breadth of the new rectangle=w \u00d7 3=30<br \/>\nw=30\/3=10<br \/>\nHence, the width of the new rectangle is 10 cm.<\/p>\n<p><strong>Example 10.<br \/>\n<\/strong>How many paper squares with the side of 4 cm cover the surface of the rectangular cardboard with a length of 6 cm and width of 8 cm?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-118601\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/07\/area-of-rectangle-example-10.jpg\" alt=\"area of rectangle example 10\" width=\"181\" height=\"116\" \/><br \/>\n<strong>Solution:<br \/>\n<\/strong>The side of a square=4<br \/>\nThe area of a square=4<sup>2<\/sup>=16<br \/>\nThe length of the rectangle=6sq cm<br \/>\nThe width of a rectangle=8 cm<br \/>\nThe area of the rectangle=6 \u00d7 8=48 sq cm<br \/>\nThe no. of squares is 48\/16 =3<br \/>\nTherefore, 3 squares are required to cover the surface of the rectangle.<\/p>\n<p><strong>Example 11.<br \/>\n<\/strong>Srinu decided to build the house in a square shape whose side is 8 m in his rectangular field which is of the length 45 m and width 65 m. Find the area of the field?<br \/>\n<strong>Solution:<br \/>\n<\/strong>The length of the rectangular field=45 m<br \/>\nThe width of the rectangular field=65 m<br \/>\nThe area of the rectangular field=45 \u00d7 65=2,925 sq m<br \/>\nThe field covered by the house is a square with a side of 8 m.<br \/>\nThe area=8<sup>2<\/sup>=64<br \/>\nThe area of the rectangular field=2,925-64<br \/>\n=2,861 sq m.<br \/>\nHence, the area of the rectangular field=2,861 sq m.<\/p>\n<p><strong>Example 12.<br \/>\n<\/strong>A rectangle has a length of 14 cm and its width is 4 cm smaller than length. Find the area of the rectangle?<br \/>\n<strong>Solution:<\/strong><br \/>\nLength of the rectangle=14 cm<br \/>\nwidth of the rectangle=14-4=10 cm<br \/>\nArea of the rectangle=14 \u00d710=140 sq cm<br \/>\nHence, the area of the rectangle=140 sq cm.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Word Problems on Area of Rectangle provided develops mathematical interest among kids by relating the concept to real-life situations. You will find a variety of problems in finding the area of rectangular shapes in this article. Try solving the Area of a Rectangle Problems provided on a regular basis and get a good hold of &#8230; <a title=\"Word Problems on Area of a Rectangle | Area of a Rectangle Word Problems\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/word-problems-on-area-of-a-rectangle\/\" aria-label=\"More on Word Problems on Area of a Rectangle | Area of a Rectangle Word Problems\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":118536,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/07\/Word-Problems-on-Area-of-a-Rectangle.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/118444"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=118444"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/118444\/revisions"}],"predecessor-version":[{"id":135397,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/118444\/revisions\/135397"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/118536"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=118444"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=118444"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=118444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}