Question:
The area of a square field is 60025 m2. A man cycles along its boundary at 18 km/hr. In how much time will he return at the starting point?
Solution:
Area of the square field = 60025 m2
The length of the square field would be the square root of 60025.
Using the long division method:.png)
Hence, the length of the square field is 245 m.
The square has four sides, so the number of boundaries of the field is 4.
The distance s covered by the man = 245 m
If the velocity v is 18 km/hr, the required time t can be calculated using the following formula:
$t=\frac{s}{v}$
$t=\frac{0.98}{18}=0.054 \mathrm{hr}=3$ minutes, 16 seconds
So, the man will return to the starting point after 3 minutes and 16 seconds.