Question

The area of a square field is $9$ hectares. Find the cost of fencing it at the rate of $Rs.32$ per metre

Answer 1

Area =9 hectare

Rate = Rs32/m

To find,

Area = 9 hectare

Area (meter) = 90,000 square meter

area of square $=a^2$

$90,000m^2=a^2$

$\begin{array}{c}a=\sqrt{90,000}\\ a=300m\end{array}$

Therefore, the side of square field is 300

Now, we will find the perimeter.

perimeter=4a

perimeter=4(300)

perimeter=1200m

cost of fencing of square field $=perimeter\times rate$

cost of fencing of square field $=1200\times 32$

cost of fencing of square field $=Rs38,400$

Therefore, cost is Rs 38,400