Question

36.) The length of rectangle exceeds its breadth by 4 cm. If length and breadth are each increased by 3 cm,
the area of the new rectangle will be 81square cm more than that of the given rectangle. Find the dimentions of
the rectangle.​

Answer 1

Answer:

14 cm and 10 cm

Step-by-step explanation:

Let x be the breadth of the original rectangle.

Length = x + 4

Area of original Rectangle, A1 = x(x+4)

For new rectangle,

Breadth = x + 3

length = x + 4+ 3 = x + 7

Area of New rectangle, A2 = (x + 3)(x+7)

Given

A2 = 81 + A1

(x + 3)(x+7) = 81 + x(x+4)

x²+10x+21 = 81 + x² + 4x

=> 6x = 60

=> x = 10

Thus the length and breadth of original rectangle are 14 and 10 cm respectively.