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/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

A. 15360 m²

B. 153600 m²

C. 30720 m²

D. 307200 m²

E. None of these

Answer: Option B

Solution(By Examveda Team)

Perimeter = Distance covered in 8 min.
Perimeter = $$\left( {\frac{{12000}}{{60}} \times 8} \right){\text{m}}$$
Perimeter = 1600 m
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160
Therefore Length = 480 m and Breadth = 320 m
Therefore Area = (480 x 320) m² = 153600 m²