Question

The perimeter of a rectangle is $36$ $cm$. If length is $10cm$,then its area is ________$c{m}^2$

Answer 1

Perimeter of the rectangle =$36cm$

$\Rightarrow 2\times (length+breadth)=36$

$\Rightarrow length+breadth=\frac{36}{2}=18$

It is given that $length=10cm$

Hence , $10+breadth=18$

$\Rightarrow breadth=18-10$

$\Rightarrow breadth=8cm$

Now, Area of rectangle =$length\times breadth$

$=10\times 8=80c{m}^2$

Hence, area of rectangle = $80c{m}^2$