{"id":618279,"date":"2023-06-20T13:20:44","date_gmt":"2023-06-20T07:50:44","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-115-m-long-and-64-m-broad-lawn-has-two-roads-at-right-angles-one-2m-wide-running-parallel-to-its-length-and-the-other-2-5m-wide-running-parallel-to-its-breadth-what-is-the-cost-of-gravelling\/"},"modified":"2025-06-26T12:32:15","modified_gmt":"2025-06-26T07:02:15","slug":"a-115-m-long-and-64-m-broad-lawn-has-two-roads-at-right-angles-one-2m-wide-running-parallel-to-its-length-and-the-other-2-5m-wide-running-parallel-to-its-breadth-what-is-the-cost-of-gravelling","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/a-115--m-long-and-64--m-broad-lawn-has-two-roads-at-right-an\/","title":{"rendered":"A 115 -m-long and 64 -m-broad lawn has two roads at right angles, one 2m wide, running parallel to its length, and the other 2.5m wide, running parallel to its breadth. What is the cost of gravelling the roads at \u20b960 per m 2 \u00a0?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A 115 -m-long and 64 -m-broad lawn has two roads at right angles, one 2m wide, running parallel to its length, and the other 2.5m wide, running parallel to its breadth. What is the cost of gravelling the roads at \u20b960 per m 2 \u00a0?","custom_permalink":"question\/mathematics\/a-115--m-long-and-64--m-broad-lawn-has-two-roads-at-right-an\/"},"categories":[],"acf":{"question":"

A 115 -m-long and 64 -m-broad lawn has two roads at right angles, one 2m wide, running parallel to its length, and the other 2.5m wide, running parallel to its breadth. What is the cost of gravelling the roads at \u20b960 per<\/span>\r\n\r\n \r\n \r\n \r\n m<\/m:mi>\r\n 2<\/m:mn>\r\n <\/m:msup>\r\n <\/m:mrow>\r\n <\/m:semantics><\/math> ?<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\">","options":[{"option":"\u20b921300<\/span>","correct":false},{"option":"\u20b923100<\/span>","correct":true},{"option":"\u20b923300<\/span>","correct":false},{"option":"\u20b921100<\/span> <\/span>","correct":false}],"solution":"Given that, the rectangular lawn 115m by 64 m has two roads one 2 m wide running through parallel to its length and the other 2.5m wide parallel to its breadth. <\/span>
<\/a>The area of the roads = Area of road parallel to length + area of road parallel to breadth <\/span>\u2013<\/span> area of common road.<\/span>
\u21d2<\/mo>(<\/mo>115<\/mn>\u00d7<\/mo>2<\/mn>)<\/mo>+<\/mo>(<\/mo>64<\/mn>\u00d7<\/mo>2<\/mn>.<\/mo>5<\/mn>)<\/mo>-<\/mo>(<\/mo>2<\/mn>\u00d7<\/mo>2<\/mn>.<\/mo>5<\/mn>)<\/mo><\/math>
\u21d2<\/mo>230<\/mn>+<\/mo>160<\/mn>-<\/mo>5<\/mn><\/math>
\u21d2<\/mo>390<\/mn>-<\/mo>5<\/mn><\/math>
\u21d2<\/mo>385<\/mn>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math>
Calculating the cost of gravelling the road = Area of the roads <\/span>\u00d7<\/mo><\/math> \u20b960 per <\/span>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math>. <\/span>
\u21d2<\/mo>(<\/mo>385<\/mn>\u00d7<\/mo>\u20b9<\/mi>60<\/mn>)<\/mo><\/math>
\u21d2<\/mo>\u20b9<\/mi>23100<\/mn><\/math>
The construction cost in total is \u20b923100.<\/span>
Therefore, option 2 is correct.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nA 115 -m-long and 64 -m-broad lawn has two roads at right angles, one 2m wide, running parallel to its length, and the other 2.5m wide, running parallel to its breadth. What is the cost of gravelling the roads at \u20b960 per m 2 \u00a0? - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A 115 -m-long and 64 -m-broad lawn has two roads at right angles, one 2m wide, running parallel to its length, and the other 2.5m wide, running parallel to its breadth. 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