Question

7 marks B27. A wire 4 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area, which is the area of the square plus the area of the circle? Give the length of wire used for the square and the circle. Justify your answer.