A piece of wire of length 60 is cut, and the resulting two pieces are formed to make a circle and square. What should the wire be cut to (a) maximize and (b) minimize the combined area of the circle and the square?
Let x be the length of the wire cut for the circle then the length of the wire cut for the square.
If x be the length of the wire cut for the circle then the circumference of the circle is x.
Let 60 – x be the length of the wire cut for the square then the perimeter of the square is 60 – x.
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