Question

If the area of Bianca’s rectangular backyard patio is represented by the expression x2−18x + 81, and the length of the patio is represented by the expression x-9, what is the expression for the width of the patio and what special rectangular shape is the patio? Explain and show all work when factoring.

Answer 1

a square backyard with width (x - 9)

Explanation:

x²−18x + 81 = x² - (2 x 9) x + 9² = (x - 9)²

width = area / length = (x - 9)² / (x - 9) = x - 9

Length = width

This is a square backyard