Question

The length and breadth of a rectangular park are in the ratio $5:2$. If its perimeter is $140$ cm, then find its area.

Answer 1

Given, the length and breadth of a rectangular park are in the ratio $5:2$.

Let the length and breadth of the rectangle be $5x,2x$.

Then perimeter will be $2(5x+2x)=140$.

According to the problem,

$14x=140$

or, $x=10$.

Then, length and breadth will be $50$ cm and $20$ cm.

Therefore, area will be $=l\times b=50\times 20=1000$ cm${}^2$.