Question

Perimeter of the rectangle is 22 cm if length is 3 cm more than the breadth, then find its length and breadth.

Answer 1

Let, Length and Breadth of the rectangle be ‘x’ and ‘y’ respectively.
$\text{Using}{1}^{st}\text{conditions we can write,}$
$2(x+y)=22$
$x+y=11\dots \dots \dots ..\left(i\right)$
$\text{Using}{2}^{nd}\text{condition we can write,}$
$x=y+3$
$x-y=3\dots \dots \dots ..\left(ii\right)$
$\text{Adding equation (i)}and\text{(ii)}$
$2x=14$
$x=7.$
$\text{Put}x=7,\text{in equation (i) we will get,}$
$7+y=11$
$y=11-7$
$y=4$
Therefore, Length and Breadth of rectangle are 7 cm and 4 cm respectively