SOLUTION: The area of a patio is 90 square feet. The length of the patio is 1 foot longer than the width. What is the length of the patio?

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Question 750920: The area of a patio is 90 square feet. The length of the patio is 1 foot longer than the width. What is the length of the patio?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x(x+1) = 90

x^2+x = 90

x^2+x-90 = 0

(x+10)(x-9) = 0

x+10=0 or x-9=0

x=-10 or x = 9

Ignore the negative solution.

The only solution that makes sense is x = 9, so x+1 = 10

The length is 10 ft.