A wire 24 inches long is to be cut into four pieces to

Chapter 1, Problem 52

(choose chapter or problem)

A wire 24 inches long is to be cut into four pieces to form a rectangle whose shortest side has a length of  \(x).

(a) Write the area of the rectangle as a function of  \(x\).

(b) Determine the domain of the function and use a graphing utility to graph the function over that domain.

(c) Use the graph of the function to approximate the maximum area of the rectangle. Make a conjecture about the dimensions that yield a maximum area.

Text Transcription:

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