Using Algebra in Landscape Design Julie Stone designed a

Chapter 2, Problem 2.1.1.67

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QUESTION:

Using Algebra in Landscape Design Julie Stone designed a rectangular patio that is 25 ft by 40 ft. This patio is surrounded by a terraced strip of uniform width planted with small trees and shrubs. If the area A of this terraced strip is \(504\mathrm{\ ft}^2\), find the width x of the strip.

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QUESTION:

Using Algebra in Landscape Design Julie Stone designed a rectangular patio that is 25 ft by 40 ft. This patio is surrounded by a terraced strip of uniform width planted with small trees and shrubs. If the area A of this terraced strip is \(504\mathrm{\ ft}^2\), find the width x of the strip.

ANSWER:

Step 1 of 2

If the patio is bordered by a terraced strip that is  feet wide, then the total area including the strip will be  feet wide and  feet long and will have an area of .

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