Question

A rectangle has an area ofx² + 9x + 14Find the expressions that represent the dimensions of the rectangle.O (x - 2) and (x - 7)O (x + 3) and (x + 6)(x + 2) and (x + 7)O (x + 1) and (x + 14)

Answer 1

x² + 9x + 14

The area of a rectangle is the product of the length and the width.

Factorizing the expression

x² + 9x + 14 = x² + 7x + 2x + 14

= x(x + 7) + 2(x + 7)

= (x + 7)(x + 2)

Hence the dimensions are (x + 2) and (x + 7)