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.

9, square

Step-by-step 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

x

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have