Question

the length of a rectangle exceeds it's breadth by 3 cm.If each of the length and breadth increased by 2cm, the area of the new rectangle will be 58cm square more than that of the original rectangle. Find the length and breadth of the original rectangle​

Answer 1

Answer:

Length = 12cm

Breadth = 15cm

Step-by-step explanation:

Given that,

l + 3 = b.......... (1)

(l+2)(b+2) = 58 + lb

lb + 2l + 2b + 4 = 58 + lb

From 1

l^2 + 3l + 2l + 2l +10 = 58 + l^2 + 3l

4l = 48

Therefore, l = 12cm

B = 15 cm