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

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1. 

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]. 30720
[D]. 307200

Answer: Option B

Explanation:

Perimeter = Distance covered in 8 min. = 1-sym-oparen-h1 12000 x 8 1-sym-cparen-h1m = 1600 m.
60

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

 Length = 480 m and Breadth = 320 m.

 Area = (480 x 320) m2 = 153600 m2.

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