India’s No.1 Educational Platform For UPSC,PSC And All Competitive Exam
• 0
• Donate Now

# 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:

Option :

Explanation:

Solution:
Perimeter = Distance covered in 8 min. =
$\left(\frac{12000}{60}×8\right)m=1600\phantom{\rule{thinmathspace}{0ex}}m$
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.