Question

The breadth of a rectangle is 3 less than the length. If both length and breadth are reduced by 3 units, the area of the rectangle reduces by 90 sq. units. Find the dimension of the original rectangle.

Answer 1

Answer:

Length = 18 units

Braedth = 15 units

Step-by-step explanation:

Hii mate,

Let length be x

breadth = x-3

Area= x(x-3) = x²-3x = A₁ (say)

When decreased by 3 units,

Length=x-3

Breadth=x-3-3=x-6

Area = (x-3)(x-6) = x²-9x+18 = A₂(say)

According to question,

A₁ - 90=A₂

=>A₁=A₂+90

=>x²-3x=x²-9x+18+90

=>6x = 108

=>x=18 units = Length

so, Breadth = x-3 = 18-3 = 15 units

HOPE IT HELPS,

PLEASE THANK, FOLLOW AND MARK AS BRAINLIEST.