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A farmer uses 300 feet of fencing to make a rectangular pen.

A farmer uses 300 feet of fencing to make a rectangular pen. The
farmer will need fencing on only 3 sides because a straight river will serve as one side of the pen (instead of fencing). The area of the pen can be described by the following function: where x is the length of each of the two sides of pen perpendicular to the river. Find and interpret (with a picture) each of the following: A(60), A(80) and A(100).

Graph the function for the above problem and find the value of x that makes the area of the pen a maximum.

 
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