Question

A person walks at the rate of $4km/hr$. How long will he take to go round a square park $5$ times , whose area is $2500m^2$?

Answer 1

Given, area of square $=2500m^2$

$\Rightarrow {\text{side}}^2=2500$

$\Rightarrow \text{side}=\sqrt{2500}$

$\therefore \text{side}=50m$

Perimeter of Square $=4\times \text{side}=4\times 50=200m$

Distance to be covered in $5$ rounds $=5\times 200=1000m=1km$

We know, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$=\frac{1km}{4km/hr}$

$=\frac{1}{4}hours$

$=\frac{1}{4}\times 60$ minutes [Since $1$ hour$=60$ minutes]

$=15$ minutes

Hence, he will take $15$ minutes to go round a square park $5$ times.