Problem

Dog Pen. Mamie has 66 ft of fencing with which to enclose a rectangular dog pen. The side...

Dog Pen. Mamie has 66 ft of fencing with which to enclose a rectangular dog pen. The side of her garage forms one side of the pen. Suppose the side of the pen parallel to the garage is x feet long.

a) Express the area of the dog pen as a function of x.


b) Find the domain of the function.


c) Graph the function using a graphing calculator.


d) Determine the dimensions that yield the maximum area.

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