The ratio between the length and the breadth of a rectangular park is 3 : 2. If

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:

Options:

A . 15360

B . 153600

C . 30720

D . 307200

Answer: Option B

Perimeter = Distance covered in 8 min. = \(\left(\frac{12000}{60}\times8\right)\) = 1600m.

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

Then, 2(3x + 2x) = 1600 or x = 160.

So, Length = 480 m and Breadth = 320 m.

So, Area = (480 x 320) m² = 153600 m².

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