A piece of wire 16 in. long is to be cut into two pieces. Let x denote the length of the first piece and 16 −?

Update:

The first piece is to be bent into a circle and the second piece into a square.

(a) Express the total combined area A of the circle and the square as a function of x.

A(x) =

(b) For which value of x is the area A a minimum?

(c) Using the x-value that you found in part (b), find the ratio of the lengths of the shorter to the longer piece of wire.

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