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

:



1. what is the expression for the width of the patio? Explain and show all work.

2. what special rectangular shape is the patio? (can be determined by side lengths). Explain and show all work.

Answer 1

9, square

Explanation:

1) factor x^2-18x+81 to get answer

x^2-9x-9x+81

x(x-9) -9(x-9)

(x-9) (x-9)=0

x-9=0

x=9

the width is 9

since both the length and width is 9, this is a square