Question

The length of the rectangle exceeds its breadth by $3cm$. If the length and breadth are each increased by $2cm$, then the area of new rectangle will be $70sq.cm$ more than that of the given rectangle. Find the length and the breadth of the given rectangle.

Answer 1

Let b be the breadth

length $=b+3$

If length and breadth increased by $2$cm new area is $70$ sq cm more

i.e., $b(b+3)+70=(b+2)(b+5)$

$b^2+3b+70=b^2+2b+5b+10$

$4b=60$

$b=15$

$l=15+3=18$.