A 36-cm wire is cut into four pieces to form a rectangle with width x cm. a. Write a polynomial function for the area of the rectangle as a function of x. b. Find the area of the rectangle if the width is 4 cm. c. For what value of x is the area of the rectangle a maximum?

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 62E
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A 36-cm wire is cut into four pieces to form a rectangle with width x cm.


a. Write a polynomial function for the area of the rectangle as a function of x.

b. Find the area of the rectangle if the width is 4 cm.

c. For what value of x is the area of the rectangle a maximum?

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