Question

Find the cost of fencing a rectangular park of length $175\mathrm{m}$ and breadth $125\mathrm{m}$ at the rate of $₹12$ per metre.

Answer 1

Step 1: Find perimeter of park

Given, length of rectangular park= $175\mathrm{m}$

Breadth of rectangular park =$125\mathrm{m}$

Let, $\mathrm{P}$ perimeter, $l$ be length and $b$ breadth of the park

Then, perimeter is

$$\begin{gathered} \mathrm{P}=2(l+b) \\ \mathrm{P}=2(175+125) \\ \mathrm{P}=600\mathrm{m} \end{gathered}$$

Step 2: Find cost of fence

Cost of fencing the given rectangular park $=₹12$ per metre

So, the cost of fence will be

$\mathrm{P}\times \mathrm{cost}=600\times 12=₹7200$

Therefore, cost of fencing around the park is $₹7200$