### Prateek Asked :

13-01-2022
Area

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Q. 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

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Dapzoi

Commented on 2022-01-15 11:41:50 (IST)

**Answer**: Option B

**Explanation**:

Perimeter = Distance covered in 8 min. = (12000/60) x 8 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.