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Sadie is a student representative to a town committee that is planning a community garden. The plan is to make the garden rectangular, with the long side twice as long less twenty-five feet as the short side. The town has up to 1000 feet of fencing from a previous project they can use to enclose the garden. 1. Write an expression to represent the longer side of the garden as a function of the shorter side. 2. Write an expression to represent the perimeter of the garden (distance around the garden). 3. Write an inequality to represent the given information. 4. Solve the inequality to determine the maximum dimensions of the garden.

Sadie is a student representative to a town committee that is planning a community garden. The plan is to make the garden rectangular, with the long side twice as long less twenty-five feet as the short side. The town has up to 1000 feet of fencing from a previous project they can use to enclose the garden. 1. Write an expression to represent the longer side of the garden as a function of the shorter side. 2. Write an expression to represent the perimeter of the garden (distance around the garden). 3. Write an inequality to represent the given information. 4. Solve the inequality to determine the maximum dimensions of the garden.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Sadie is a student representative to a town committee that is planning a community garden. The plan is to make the garden rectangular, with the long side twice as long less twenty-five feet as the short side. The town has up to 1000 feet of fencing from a previous project they can use to enclose the garden. 1. Write an expression to represent the longer side of the garden as a function of the shorter side. 2. Write an expression to represent the perimeter of the garden (distance around the garden). 3. Write an inequality to represent the given information. 4. Solve the inequality to determine the maximum dimensions of the garden.
Transcribed Image Text:Sadie is a student representative to a town committee that is planning a community garden. The plan is to make the garden rectangular, with the long side twice as long less twenty-five feet as the short side. The town has up to 1000 feet of fencing from a previous project they can use to enclose the garden. 1. Write an expression to represent the longer side of the garden as a function of the shorter side. 2. Write an expression to represent the perimeter of the garden (distance around the garden). 3. Write an inequality to represent the given information. 4. Solve the inequality to determine the maximum dimensions of the garden.
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