Problem: 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 what is the area of the park (in sq m)?
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Correct Answer: ans: 153600 sq.m.
Explanation:
Given that, length : breadth = 3 : 2
Let, the length of the rectangle be 3x and the breadth of the rectangle be 2x
The Area = 3x X 2x = 6x$^{2}$ and the perimeter = 2(3x + 2x) = 10x.
Now,In 60 minutes the man covers 12km = 12000 meters.
In 1 minutes the man covers 12km = $\frac{1200\times 8}{60}$ =1600 meters.
Now, we get, 10x = 1600
=> x= $\frac{1600}{10}$ =160
Area of the rectangle = 6$^{2}$
= (6 x 160 x 160) sq.m = 153600 sq.m.
