Question

The length of a rectangle exceeds its breadth by 9 cm. If length and breadth are each increased by 3 cm, the area of the new rectangle will be 84 cm² more than that of the given rectangle. Find the length and breadth of the given rectangle.

Answer 1

Let the breadth of the rectangle is x meter

Length of the rectangle is (x + 9)meter

Area of the rectangle = length × breadth

= x(x + 9)m²

New length = x + 9 +3  = x + 12

New breadth = x + 3

New area is 84 more than the previous area:

Therefore length of the rectangle = 17m and breadth of the rectangle is 17m.