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The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is
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- 153650 sq.metre
- 135600 sq.metre
- 153600 sq.metre
- 156300 sq.metre
- 153650 sq.metre
Correct Option: C
Distance covered by man in 8 minutes
| = |  |  | metre | |
| 60 |
= 1600 metre = Perimeter of park
Length of park = 3x metre (let)
Width = 2x metre
∴ 2(3x + 2x) = 1600
| ⇒ 5x = | = 800 | |
| 2 |
| ⇒ x = | = 160 | |
| 5 |
∴ Area of park = 3x × 2x = 6x² = 6 × (160)²
= 153600 sq. metre
