Area A wire 24 inches long is to be cut into four pieces to form a rectangle whose shortest side has a length of .
(a) Write the area of the rectangle as a function of .
(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.
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