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/hour completes one round in 8 minutes, then the area of the park is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 153600 m2
Let Length = l, Breadth = b
l = 3x, b = 2x
Perimeter of the Rectangular park = Distance covered by the man in one round
= 12 × 5/18 × 8 × 60
= 1600 m
So,
2(3x + 2x) = 1600
⇒ 5x = 800
⇒ x = 160
l = 3x = 160 × 3 = 480
b = 2x = 160 × 2 = 320
Hence,
Area of the rectangle = l × b = 480 × 320
= 153600 m2