The area of a square field is 60025 m

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?

Solution:

Area of the square field $=60025 \mathrm{~m}^{2}$

Length of each side of the square field $=\sqrt{60025}=245 \mathrm{~m}$

Perimeter of the field $=4 \times 245=980 \mathrm{~m}$

$=\frac{980}{1000} \mathrm{~km}$

The man is cycling at a speed of 18 km/h.

Time $=\frac{\text { Distance travelled }}{\text { Speed }}$

$=\frac{980 / 1000}{18}$

$=\frac{980}{1000 \times 18} \mathrm{hr}$

$=\frac{980 \times 60 \times 60}{18000} \mathrm{sec}$

$=98 \times 2 \mathrm{sec}$

$=196 \mathrm{sec}$

$=3 \mathrm{~min} 16 \mathrm{sec}$

 

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