Question

The length of a rectangle exceeds its breadth by 7 cm. If the length is decreased by 4 cm and the breadth is increased by 3 cm, the area of the new rectangle remains the same as the area of the original rectangle. Find the length and breadth of the original rectangle

hi manu​

Answer 1

Answer:

Let the breadth of the rectangle be x cm.

Therefore, length =x+7 cm

According to the question,

(x+3)(x+3)=x(x+7)

x

2

+9+6x=x

2

+7x

x=9

Hence, dimensions of original rectangle,

Length = 16 cm

Breadth = 9 cm