Question

The cost of levelling a square lawn at $Rs.15$ per square meter is $Rs.19,935$. Find the cost of fencing the lawn at $Rs.22$ per meter.

Answer 1

Cost of levelling $=Rs.15$ per square meter

Let $A$ be the area of lawn.

Therefore,

Cost of levelling lawn $=15\times A=Rs.19,935\left(\text{Given}\right)$

$\Rightarrow A=\frac{19935}{15}=1329m^2$

As we know that,

Area of square $=a^2$

Here $a$ is the edge length of square.

Since, lawn is in square form.

Therefore,

Side length of square $\left(a\right)=\sqrt{A}=\sqrt{1329}=36.45m$

Perimeter of square $=4a=4\times 36.45=145.82m$

Now,

Cost of fencing $=Rs.22$ per meter

Therefore,

Cost of fencing lawn $=22\times 145.82\approx Rs.3208$