Question

Cost of fencing around a square field is $₹12000.$ If the cost of fencing per metre is $₹30,$ find the area of the square field.

Answer 1

Step 1: Find the side of the square field.

Let $a$ be the side of the square field.

Now, Cost of fencing around the square field is $=perimeter\times \cos tpermeter$

$$\begin{gathered} \Rightarrow 4a\times 30=12000 \\ \Rightarrow a=\frac{12000}{4\times 30} \\ \Rightarrow a=100m \end{gathered}$$

Step 2: Find the area of the field.

We know that, area of the square field$=a^2$

Therefore, area of square field $={\left(100m\right)}^2=100m\times 100m=10,000m^2$

Hence, the area of the square field is equal to $10000m^2.$