Question

Asked Nov 5, 2019

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?

Step 1

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*.

Step 2

Let 60 – *x* be the length of the wire cut for the square then the perimeter of the square is 60 – *x*.

Step 3

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