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The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs 10 per m2 is Rs 15,000, find the height of the hall. |
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Answer» Perimeter of the floor of hall = 250 m …(1) Cost of painting the four walls = Rs 15000 … (2) Let h be the required height, l and b are length and breadth of the rectangular hall. ∴ Area of four walls = A = 2(1 + b) x h = {2(1 + b) } x h = (Perimeter of the floor) x h A = 250 h m2 Cost of painting of area 1 m2 = Rs 10 Total cost of painting 250 h m2 = (250 h x 10) = 2500 h. 2500 h = 15,000 => h = 15,000/2500 = 6m Hence the required height of the hall = 6m |
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