Question

The area of a square field is 60025 m². A man cycles along its boundary at 18 km/h. In how much time will he return to the starting point?

Answer 1

Given that, 

Area of the square field = 60025 m² 

Length of each side of the square field = \(\sqrt{60025}\) = 245 m

We know that, 

Perimeter of the square = 4 × sides 

= 4 × 245 

= 980 m

= \(\frac{980}{1000}\)km

 It is also given that, the man is cycling at a speed of 18 km/h

Therefore,

Time = \(\frac{Distance\,travelled}{Speed}\)

\(=\frac{\frac{980}{1000}}{18}\)

\(=\frac{980}{1000\times18}\) hr

\(=\frac{980\times60\times60}{18000}\)sec

= 98 × 2 sec 

= 196 sec 

= 3 min 16 sec