# 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}

Related Questions on Area

A. 15360 m^{2}

B. 153600 m^{2}

C. 30720 m^{2}

D. 307200 m^{2}

E. None of these

A. 2%

B. 2.02%

C. 4%

D. 4.04%

E. None of these

A. 16 cm

B. 18 cm

C. 24 cm

D. Data inadequate

E. None of these

**The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:**

A. 40%

B. 42%

C. 44%

D. 46%

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