You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the following diagram. The cubicles will be fully enclosed (so walls will be on all four sides and doors will be added later), but adjacent cubicles will each share a wall. If you have 240 feet of cubicle wall, how long should you make the interior walls (the one labeled x in the diagram) in order to maximize the total area of the cubicles? The interior walls should each be feet long. If necessary, round to two decimal places.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the following diagram. The cubicles will be fully enclosed (so walls will be
on all four sides and doors will be added later), but adjacent cubicles will each share a wall.
If you have 240 feet of cubicle wall, how long should you make the interior walls (the one labeled x in the diagram) in order to maximize the total area of the cubicles?
The interior walls should each be
feet long.
If necessary, round to two decimal places.
Transcribed Image Text:You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the following diagram. The cubicles will be fully enclosed (so walls will be on all four sides and doors will be added later), but adjacent cubicles will each share a wall. If you have 240 feet of cubicle wall, how long should you make the interior walls (the one labeled x in the diagram) in order to maximize the total area of the cubicles? The interior walls should each be feet long. If necessary, round to two decimal places.
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