Question

Length of a rectangle is 2 units greater than its breadth. If the area of the rectangle is 120 sq. units then find its length.

Answer 1

Let breadth of the rectangle = x 

Length = x + 2 ,

Area = 120 sq. units 

x(x+2) = 120 

x² + 2x- 120 = 0 

(x + 12) (x- 10) = 0 

x = – 12 or 10 

Breadth cannot be negative 

∴ Breadth of the rectangle = x 

= 10 units 

∴ Length = x + 2 = 10 + 2 = 12 units