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Solve the Problem xx Will the Area of the Cross Section Be a Maximum

Question 152

Multiple Choice

Solve the problem.
-A piece of rectangular sheet metal is 4 inches wide. It is to be made into a rain gutter by turning up equal edges to form parallel sides. Let x represent the length of each of the parallel sides. For what value of xx will the area of the cross section be a maximum (and thus maximize the amount of water that the gutter will hold) ? If necessary, round to 2 decimal places.


A) 8 in.
B) 16in16 \mathrm { in } .
C) 1 in.
D) 2 in.

Correct Answer:

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