The area of a square field is 8100 square metres. A man walks along the boundary at 24m/min. In how much time will he complete three rounds of the field?

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Solution

$Let s = length of each side of the square field area of the field = 8100 m^{2} \Rightarrow s^{2} = 8100 \Rightarrow s = 90 m distance covered in 1 round = perimeter = 4 s = 4 \times 90 = 360 m distance covered in 3 rounds = 360 \times 3 = 1080 m speed of man = 24 m / \min now, time taken to cover 3 rounds = \frac{distance}{speed} = \frac{1080}{24} = 45 minutes$

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