1) [tex]width=x-9[/tex]
2) Rectangular shape is square shape patio !
Step-by-step explanation:
Here we have , 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: We need to find
1. what is the expression for the width of the patio? Explain and show all work.
We know that area of rectangle = [tex]Length(width)[/tex]
⇒ [tex]x^2-18x+81=(x-9)(width)[/tex]
Factorizing RHS:
⇒ [tex]x^2-9x-9x+81=(x-9)(width)[/tex]
⇒ [tex]x(x-9)-9(x-9)=(x-9)(width)[/tex]
⇒ [tex](x-9)(x-9)=(x-9)(width)[/tex]
⇒ [tex]width=x-9[/tex]
2. what special rectangular shape is the patio?
Now , we see that
[tex]Length = x-9\\Width=x-9[/tex]
A rectangle whose length & width are equal is known as a square ! Hence , Rectangular shape is square shape patio !
