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

Given:

The length and breadth of the rectangular park are $175\ m$ and $125\ m$ respectively.

To do:

We have to find the cost of fencing the rectangular park of length $175\ m$ and breadth $125\ m$ at the rate of $Rs.\ 12\ per\ metre$.

Solution:

The length of the rectangular park $ =175\ m$

The breadth of the rectangular park $ =125\ m$

We know that,

The perimeter of a rectangle of length $l$ and breadth $b$ is $2(l+b)$

Therefore,

The perimeter of the rectangular park $ = 2\times(175+125)$

$= 2\times300$

$= 600\ m$

Since,

The cost of fencing the rectangular park $ = Rs.\ 12\ per\ m$

The cost of fencing the rectangular park for $600\ m = Rs. 12\times600$

$ = Rs.\ 7200$

The cost of fencing the rectangular park of length $175\ m$ and breadth $125\ m$ at the rate of $Rs.\ 12\ per\ metre$ is $Rs.\ 7200$.

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