{"id":21303,"date":"2019-05-20T20:24:58","date_gmt":"2019-05-20T14:54:58","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21303"},"modified":"2022-11-16T22:52:42","modified_gmt":"2022-11-16T17:22:42","slug":"a-six-sided-mosaic-contains-24-triangular-pieces-of-tile-of-the-same-size-and-shape-as-shown-in-the-figure-above-if-the-sections-of-tile-fit-together-perfectly-how-many-square-centimetres-of-tile-a","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/a-six-sided-mosaic-contains-24-triangular-pieces-of-tile-of-the-same-size-and-shape-as-shown-in-the-figure-above-if-the-sections-of-tile-fit-together-perfectly-how-many-square-centimetres-of-tile-a\/","title":{"rendered":"A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimetres of tile are in the mosaic?  &#8211; OG 2020 Question #329 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\"> 2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 class=\"wp-block-heading\" id=\"h-og-2020-question-no-329\">OG 2020: Question No. 329<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"263\" height=\"214\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/329.png\" alt=\"\" class=\"wp-image-21304\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimetres of tile are in the mosaic?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Each side of each triangular piece of tile is 9 centimetres long.<\/li><li>The mosaic can be put inside a rectangular frame that is 40 centimetres wide.<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td>OG 2020<\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Geometry<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Triangle<\/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-steps-1-2-understand-question-and-draw-inferences\"><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/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 diagram showing a six-sided mosaic, contains 24 triangular pieces of tile of the same size and shape.<\/li><li>The sections of tile fit together perfectly.<\/li><\/ul>\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 number of square centimetres of tile, which are in the mosaic.<ul><li>Therefore, we need to know the area of the mosaic.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Since we are not given any other relevant information in the question stem, let us analyse the question statements.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-step-3-analyse-statement-1\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u201cEach side of each triangular piece of tile is 9 centimetres long.\u201d<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We are given that each side of each triangle is 9 cm.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Hence, each triangle is an equilateral triangle.<ul><li>Thus, we can find the area of each of the 24-equilateral triangle or the mosaic.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, statement 1 is sufficient to answer the question.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-step-4-analyse-statement-2\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u201cThe mosaic can be put inside a rectangular frame that is 40 centimetres wide.\u201d<\/em><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>For the mosaic to fit, its largest length i.e. AE must fit in the rectangle.<ul><li>Hence, the width of rectangle must be greater than or equal to AE.<ul><li>Therefore, AE \u2265 40<\/li><\/ul><\/li><li>However, we do not know the exact value of AE.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, statement 2 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-step-5-combine-both-statements-together-if-needed\"><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Since we can determine the answer from statement 1 individually, this step is not required.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, the correct answer choice is option A.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a>&nbsp;with more than 2400 reviews&nbsp;<\/strong>and are the only prep company that has delivered&nbsp;<a href=\"https:\/\/e-gmat.com\/blogs\/e-gmat-review\/\" target=\"_blank\" rel=\"noreferrer noopener\" data-wpel-link=\"internal\">more than 700+ scores than any other GMAT club partner<strong>.<\/strong><\/a>&nbsp;<strong>Why don\u2019t you take a free trial and judge for yourself?<\/strong><\/p><\/blockquote>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\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-a379bf62-730f-4753-bc03-a81d1bc5d222\"><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  \" role=\"button\" style=\"--ub-button-background-color: #fcb900; --ub-button-color: #000000; --ub-button-border: none; --ub-button-hover-background-color: #cf2e2e; --ub-button-hover-color: #ffffff; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 60px; \">\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-icon-holder\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" height=\"30\" width=\"30\" viewbox=\"0 0 512 512\">\n\t\t\t\t\t<path fill=\"currentColor\" d=\"M0 256a256 256 0 1 0 512 0A256 256 0 1 0 0 256zM281 385c-9.4 9.4-24.6 9.4-33.9 0s-9.4-24.6 0-33.9l71-71L136 280c-13.3 0-24-10.7-24-24s10.7-24 24-24l182.1 0-71-71c-9.4-9.4-9.4-24.6 0-33.9s24.6-9.4 33.9 0L393 239c9.4 9.4 9.4 24.6 0 33.9L281 385z\">\n\t\t\t\t<\/path><\/svg>\n\t\t\t<\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"ub-button-block-main  \" role=\"button\" style=\"--ub-button-background-color: #0693e3; --ub-button-color: #ffffff; --ub-button-border: none; --ub-button-hover-background-color: #ff6900; --ub-button-hover-color: #000000; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 60px; \">\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-icon-holder\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" height=\"30\" width=\"30\" viewbox=\"0 0 448 512\">\n\t\t\t\t\t<path fill=\"currentColor\" d=\"M438.6 278.6c12.5-12.5 12.5-32.8 0-45.3l-160-160c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3L370.7 256 233.4 393.4c-12.5 12.5-12.5 32.8 0 45.3s32.8 12.5 45.3 0l160-160zm-352 160l160-160c12.5-12.5 12.5-32.8 0-45.3l-160-160c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3L178.7 256 41.4 393.4c-12.5 12.5-12.5 32.8 0 45.3s32.8 12.5 45.3 0z\">\n\t\t\t\t<\/path><\/svg>\n\t\t\t<\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OG 2020: Question No. 329 A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimetres of tile are in the mosaic? Each side of each triangular piece of tile is 9 centimetres [&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-21303","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>A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. 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