Question

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
• B. 153600
• C. 30200
• D. 31200

Answer 1

The correct option is B

153600

Perimeter = distance covered in 8 min. $\left(\frac{12000}{60}\times 8\right)$m = 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 $\times$ 320) m${}^2$ = 153600 m${}^2$