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### Discussion :: Area

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:

2. A.

15360

B.

153600

C.
 30720
D.

307200

Explanation :

Perimeter = Distance covered in 8 min. =[$$\frac { 12000 } { 60 }$$x8]m = 1600 m

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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