Problem

Wire rectangle A piece of wire 24 inches long is bent into the shape of a rectangle havi...

Wire rectangle A piece of wire 24 inches long is bent into the shape of a rectangle having width x and length y.

(a) Express y as a function of x.

(b) Express the area A of the rectangle as a function of x.

(c) Show that the area A is greatest if the rectangle is a square.

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