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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 kmph completes one round in 8 minutes, then the area of the park is equal to
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- 152600 m²
- 153500 m²
- 153600 m²
- 153800 m²
- 152600 m²
Correct Option: C
Length of park = 3x metre (let)
Breadth = 2x metre
Perimeter of park = Distance covered by cyclist
| = | = | km | ||
| 60 | 5 |
| = |  | × 1000 |  | metre | |
| 5 |
= 1600 metre
According to the question, 2 (3x + 2x) = 1600
| ⇒ 10x = 1600 ⇒ x = | = 160 | |
| 10 |
∴ Area of the park = 3x × 2x = 6x² = 6 × (160)² = 153600 sq. metre
