Question

The area of rectangle is x² + 7x + 12. If its breadth is (x + 3), then find its length.

Answer 1

Area of a rectangle = x² + 7x + 12 

Its breadth = x + 3 

Area = breadth x length

x² + 7x + 12 = (x + 3) x length 

∴ Length = (x² + 7x + 12) ÷ (x + 3)

Quotient = x + 4; Remainder = 0; 

∴ Length = x + 4