Question

The area of a rectangle is represented by x^2 + 7x - 18. Factor to find binomial expressions representing the length and width. What is the difference between the length and width?

Answer 1

x^2 + 7x - 18 = (x + 9)(x - 2)

The difference between length and width is x + 9 - (x - 2) = x + 9 - x + 2 = 11.