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The sides of a triangular park are 35 m, 53 m and 66 m. The cost of levelling the park at the rate of Rs9.25/ m2 is:
Rs8,584
Rs8,547
Rs8,621
Rs8,510
To solve this problem, first calculate the area of the triangular park using Heron's formula.
- Calculate the semi-perimeter (s):
- s=35+53+662=77m
- Apply Heron’s Formula:
- Area = s(s−a)(s−b)(s−c)
- Area = 77(77−35)(77−53)(77−66)
- Area = 77×42×24×11
- Calculated Area ˜ 923.50 m2
- Calculate cost of levelling the park:
- Cost = Area × Rate
- Cost = 923.50×9.25
- Cost ˜ Rs8,547
- Correct Option:
- Option 2: Rs8,547
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