Question

The perimeter of a rectangular field is $151m$. If its breadth is $32m$, find its length and area.

Answer 1

Given: Perimeter of the rectangular field, $P=150m$

And, its breadth, $b=32m$

Let the length of the given rectangular field be ${}^{\prime }{l}^{\prime }$.

Perimeter of a rectangular field $=2(l+b)$

$\Rightarrow 2(l+b)=151$

$\Rightarrow 2l+2\times 32=151$

$\Rightarrow 2l=151-64$

$\Rightarrow l=\frac{87}{2}=43.5m$

Now, Area of the given rectangular field $=l\times b=43.5\times 32=1,392‬m^2$