Let's suppose the breadth of the rectangle be x cm
The length of the rectangle = x + 3 cm
It is assumed that the length and breadth of the rectangle is amplified by 2.
Now, the breadth of the rectangle = x + 2
The length of the rectangle = x + 3 + 2 = x + 5
It is also assumed that the area of the rectangle is 70 sq. cm
Hence, the area of the rectangle = length x breadth = (x + 2)(x + 5) = 70
= x2 + 5x + 2x + 10 = 70
= x2 + 7x = 70 - 10
= x2 + 7x = 60
= x2 + 7x - 60 = 0
= x2 + 12x - 5x - 60 = 0
= x( x + 12) -5(x + 12) = 0
= ( x + 12) (x - 5) = 0
=x + 12 = 10 or =x - 5 = 0
= x = 10 - 12 = -2 = x = 5
The breadth of a rectangle is never negative, so the value of x is 5 cm
Therefore, the breadth of the rectangle = 5 cm
The length of the rectangle = 5 + 3 = 8 cm
