You use 187 feet of wire to make three sides of a rectangular pen. The fourth side is the wall of a barn. If you use w feet for the width, the area you enclose is given by

 square feet.

A: Make a graph of A versus w. In choosing a viewing window, you should bear in mind that the width will certainly be no more than half the total amount of fence.B:  What width gives the maximum area? Round your answer to two decimal places, if necessary.C: What is the maximum area? Round your answer to two decimal places, if necessary.



What will be an ideal response?


A:

?

    

?

?

B: 46.75 feet

?

C: The maximum area is 4371.13 square feet.


Mathematics

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