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 m2
B . 153600 m2
C . 30720 m2
D . 307200 m2
E . None of these
Answer: Option B 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) m2 = 153600 m2
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