Question

if a rectangle has am area of 2x²+11x+15, what would be an expression for the length, and for the width?

Answer 1

Length = 2x + 5

Width = x + 3

Explanation:

Area of rectangle = length × width

Expression for area of the rectangle = 2x² + 11x + 15

Factorising the quadratic expression

2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)

Length = 2x + 5

Width = x + 3