Question

The ratio between the length and breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/ h completes one round in 8 minutes, then the area of the park in sq. m is

• A. 15360
• B. 153600
• C. 30720
• D. 307200

Answer 1

The Correct Option is B

Let length and breadth of the rectangular park be 3x and 2x

Distance covered by the man cycling around the park (in meters) is given by,

\(12×\frac{5}{18}×8×60=1600\)

Perimeter of the rectangular park is equal to 1600

\(∴\)2(3x + 2x) = 1600

5x = 800 (or) x = 160

Area of the park \(=×\) 6x²

= 6(160 x 160) 

= 153600 sq.m

Hence, option B is the correct answer.The correct option is (B): 153600