^{th}Independence Day

# 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 m^{2}

B. 153600 m^{2}

C. 30720 m^{2}

D. 307200 m^{2}

E. None of these

**Answer: Option B **

__Solution(By Examveda Team)__

Perimeter = Distance covered in 8 min.Perimeter = $$\left( {\frac{{12000}}{{60}} \times 8} \right){\text{m}}$$

Perimeter = 1600 m

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

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

Therefore Length = 480 m and Breadth = 320 m

Therefore Area = (480 x 320) m

^{2}= 153600 m

^{2}

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## Comments ( 1 )

Related Questions on Area

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Ver beautiful and nice way to understand. Thanks