You have a steel wire that is 100 inches long. To make a sign holder, you bend the wire

Chapter 3, Problem 67

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Geometry 

You have a steel wire that is 100 inches long. To make a sign holder, you bend the wire x inches from each end to form two right angles. To use the sign holder, you insert each end 6 inches into the ground. (See figure.)

(a) Write a function for the rectangular area A enclosed by the sign holder in terms of x.

(b) Use the table feature of a graphing utility to determine the value of x that maximizes the rectangular area enclosed by the sign holder.

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