{"id":21360,"date":"2019-05-21T02:17:53","date_gmt":"2019-05-20T20:47:53","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21360"},"modified":"2019-05-21T02:17:53","modified_gmt":"2019-05-20T20:47:53","slug":"on-a-scale-drawing-of-a-triangular-piece-of-land-the-sides-of-the-triangle-have-lengths-5-12-and-13-centimetres-if-1-centimetre-on-the-drawing-represents-3-meters-what-is-the-area-in-square-mete","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/on-a-scale-drawing-of-a-triangular-piece-of-land-the-sides-of-the-triangle-have-lengths-5-12-and-13-centimetres-if-1-centimetre-on-the-drawing-represents-3-meters-what-is-the-area-in-square-mete\/","title":{"rendered":"On a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimetres. If 1 centimetre on the drawing represents 3 meters, what is the area, in square meters, of the piece of land? – OGQR 2020 Question #90 with Solution"},"content":{"rendered":"A <\/span> < 1<\/span> min read <\/span><\/span>
\n\t\t\t\t\t

OGQR 2020: Question No. 90<\/h2>\n

On a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimetres. If 1 centimetre on the drawing represents 3 meters, what is the area, in square meters, of the piece of land?<\/p>\n\t\t\t\t<\/div>\n

\n\t\t\t\t\t\n\n\n\n\n\n\n
Source<\/td>\nOGQR 2020<\/td>\n<\/tr>\n
Type<\/td>\nProblem Solving<\/td>\n<\/tr>\n
Topic<\/td>\nGeometry<\/td>\n<\/tr>\n
Sub-Topic<\/td>\nTriangle \/ Unit Conversion<\/td>\n<\/tr>\n
Difficulty<\/td>\nMedium<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div>
<\/div>\n

Solution<\/h3>\n

Given<\/u><\/strong><\/h4>\n

In this question, we are given<\/p>\n

    \n
  • On a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimetres.<\/li>\n
  • 1 centimetre on the drawing represents 3 meters.<\/li>\n<\/ul>\n

    To Find<\/u><\/strong><\/h4>\n

    We need to determine<\/p>\n

      \n
    • The area, in square meters, of the piece of land.<\/li>\n<\/ul>\n

      Approach & Working<\/u><\/strong><\/h4>\n

      As 52<\/sup> + 122<\/sup> = 132<\/sup>, we can say the land is in the shape of a right-angled triangle.<\/p>\n

        \n
      • Side length 5, converted into meters = 5 * 3 = 15 meters<\/li>\n
      • Side length 12, converted into meters = 12 * 3 = 36 meters<\/li>\n
      • Therefore, the area of the piece of land = 1\/2 * 15 * 36 sq. m. = 270 sq. m.<\/li>\n<\/ul>\n

        Hence, the correct answer is option D.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Solution Given In this question, we are given On a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimetres. 1 centimetre on the drawing represents 3 meters. To Find We need to determine The area, in square meters, of the piece of land. Approach […]<\/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":"","ub_ctt_via":""},"categories":[104,44,94,60,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"\nOn a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimetres. 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