{"id":21468,"date":"2019-05-21T19:50:13","date_gmt":"2019-05-21T14:20:13","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21468"},"modified":"2023-02-09T19:52:10","modified_gmt":"2023-02-09T14:22:10","slug":"og-2020-q98-three-fourths-of-the-area-of-a-rectangular-lawn","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/og-2020-q98-three-fourths-of-the-area-of-a-rectangular-lawn\/","title":{"rendered":"GMAT Quant OG 2020 Question #98 with Solution &#8211; &#8220;Three-fourths of the area of a rectangular lawn 30 feet wide&#8230;&#8221;"},"content":{"rendered":"<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\"> &lt; 1<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 class=\"wp-block-heading\">PQID: PS98502.01 | OG 2020: Question No. 98<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>2(1\/2)<\/li><li>5<\/li><li>10<\/li><li>15<\/li><li>20<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>Source<\/td><td>OG 2020<\/td><\/tr><tr><td>PQID<\/td><td>PS98502.01<\/td><\/tr><tr><td>Type<\/td><td>Problem Solving<\/td><\/tr><tr><td>Topic<\/td><td>Geometry<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Polygon<\/td><\/tr><tr><td>Difficulty<\/td><td>Hard<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-given\"><strong><u>Given<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">In this question, we are given<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>A rectangular lawn is 30 feet wide and 40 feet long.<\/li><li>Three-fourth of the area of the lawn is to be enclosed by a rectangular fence.<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-to-find\"><strong><u>To Find<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">We need to determine<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The less amount of fence required, if the enclosure has full width and reduced length, compared to full length and reduced width.<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-approach-working\"><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\"><li>Area of lawn = 30 \u00d7 40\n<ul>\n<li>3\/4<sup>th<\/sup> of the area of lawn = \u00be(30 \u00d7 40) = 30 * 30<\/li>\n<\/ul>\n<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><u>Case 1:<\/u><\/strong> <em>When full width will be fenced, and reduced length will be fenced.<\/em><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Width = 30 feet\n<ul>\n<li>30 * L = 30 * 30<\/li>\n<\/ul>\n<\/li><li>Hence, length = 30 feet<\/li><li>Length of fence needed = 2(30 + 30) = 120 feet<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><u>Case 2:<\/u><\/strong> <em>When full length will be fenced, and reduced width will be fenced<\/em><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Length = 40 feet\n<ul>\n<li>40 * W = 30 * 30\n<ul>\n<li>W = 22.5 feet<\/li>\n<\/ul>\n<\/li>\n<li>Length of fence needed = 2(40 + 22.5) = 125 feet<\/li>\n<\/ul>\n<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Difference in length of fence needed = 125 &#8211; 120 = 5 feet.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, option B is the correct answer.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Takeaways:<\/h2>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>For the same area, the perimeter of a rectangle could be different depending on the length and breadth of the rectangle.<\/li><li>When the area of a rectangle and the length of one of the sides is known, the length of the other side can be determined as (Area of the rectangle\/length of one side).<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>PQID: PS98502.01 | OG 2020: Question No. 98 Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed? 2(1\/2) [&hellip;]<\/p>\n","protected":false},"author":79663,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[104,44,94,60,100],"tags":[],"class_list":["post-21468","post","type-post","status-publish","format-standard","hentry","category-geometry","category-gmat-official-guide-solutions","category-gmat-prep","category-gmat-quant","category-quant-official-guide-solutions","et-doesnt-have-format-content","et_post_format-et-post-format-standard"],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>GMAT Quant OG 2020 Question #98 with Solution - &quot;Three-fourths of the area of a rectangular lawn 30 feet wide...&quot;<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/og-2020-q98-three-fourths-of-the-area-of-a-rectangular-lawn\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Quant OG 2020 Question #98 with Solution - &quot;Three-fourths of the area of a rectangular lawn 30 feet wide...&quot;\" \/>\n<meta property=\"og:description\" content=\"PQID: PS98502.01 | OG 2020: Question No. 98 Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. 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