A company makes wire frames. Each frame is constructed from a wire of length 16 feet that is cut into six pieces. The vertical edges of the frame consist of four of the pieces of wire and are each 12 inches long. One of the remaining pieces is bent into a square to form the base of the frame; the final piece is bent into a circle to form the top of the frame. Into what length pieces should the wire be cut to minimize the combined area of the circular top and the square base of the frame?

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