Question

The length of a rectangle exceeds its breadth by 9cm. If the length and breadth are increased by 3cm, the area of the new rectangle will be 84cm^2 more than that of the given rectangle. Find the length and breadth of the given rectangle.

Answer 1

Answer:

L = 17cm

B = 8cm

Step-by-step explanation:

L = x+9

B = x

$A = l \times b$

A = x²+9x

then, after increasing,

L = x+12

B = x+3

A = LB+84cm²

$(x + 12)(x + 3) = {x}^{2} + 9x + 84$

x²+15x+36 = x²+9x+84

15x+36 = 9x+84

6x = 48

x = 8

L = 17cm

B = 8cm