{"id":21342,"date":"2019-05-21T01:38:05","date_gmt":"2019-05-20T20:08:05","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21342"},"modified":"2022-11-17T11:43:43","modified_gmt":"2022-11-17T06:13:43","slug":"if-a-rectangle-of-area-24-can-be-partitioned-into-exactly-3-nonoverlapping-squares-of-equal-area-what-is-the-length-of-the-longest-side-of-the-rectangle-ogqr-2020-question-84-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/if-a-rectangle-of-area-24-can-be-partitioned-into-exactly-3-nonoverlapping-squares-of-equal-area-what-is-the-length-of-the-longest-side-of-the-rectangle-ogqr-2020-question-84-with-solution\/","title":{"rendered":"If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle?  &#8211; OGQR 2020 Question #84 with Solution"},"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\" id=\"h-ogqr-2020-question-no-84\">OGQR 2020: Question No. 84<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td>OGQR 2020<\/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>Quadrilateral<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium &#8211; 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 rectangle of area 24 is partitioned into exactly 3 nonoverlapping squares of equal area.<\/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 length of the longest side of the rectangle.<\/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<p class=\"wp-block-paragraph\">As the squares are nonoverlapping, the total area of all 3 squares will be equal to the area of the rectangle.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Area of each square = 24\/3 = 8<\/li><li>Therefore, side length of each square = \u221a8 = 2\u221a2<\/li><li>Thus, the longest side of the rectangle = 2\u221a2 + 2\u221a2 + 2\u221a2 = 6\u221a2<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, the correct answer is option D.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don\u2019t you<a target=\"_blank\" href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">&nbsp;<strong>try out our FREE Trial?<\/strong><\/a>&nbsp;We are the<strong>&nbsp;<a target=\"_blank\" href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed online GMAT Preparation company in GMATClub<\/a><\/strong>&nbsp;with more than 2000 reviews as of January 2021.<\/p><\/blockquote>\n\n\n<div style=\"gap: 20px\" class=\"align-button-center ub-buttons orientation-button-row ub-flex-wrap wp-block-ub-button\" id=\"ub-button-554b5452-e361-45d6-8489-ee46d150b080\"><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"ub-button-block-main   ub-button-flex\" role=\"button\" style=\"--ub-button-background-color: #0693e3; --ub-button-color: #ffffff; --ub-button-border: none; --ub-button-hover-background-color: #313131; --ub-button-hover-color: #ffffff; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 10px; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OGQR 2020: Question No. 84 If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle? Source OGQR 2020 Type Problem Solving Topic Geometry Sub-Topic Quadrilateral Difficulty Medium &#8211; Hard Solution Given In this question, we are given [&hellip;]<\/p>\n","protected":false},"author":102413,"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-21342","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":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle? - OGQR 2020 Question #84 with Solution<\/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\/if-a-rectangle-of-area-24-can-be-partitioned-into-exactly-3-nonoverlapping-squares-of-equal-area-what-is-the-length-of-the-longest-side-of-the-rectangle-ogqr-2020-question-84-with-solution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle? - OGQR 2020 Question #84 with Solution\" \/>\n<meta property=\"og:description\" content=\"OGQR 2020: Question No. 84 If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle? 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