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.

Question

Mathematics

Kaliyah Woodward

20 August, 17:06

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.

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Answers (1)

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Cheyanne Daugherty · Answer 1

a square backyard with width (x - 9)

Step-by-step 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