A wire of length 100 centimeters is cut into two pieces; one is bent to form a

Question:

A wire of length 100 centimeters is cut into two pieces; one is bent to form a square, and the other is bent to form an equilateral triangle. Where should the cut be made if
(a) The sum of the two areas is to be a minimum;
(b) A maximum? (Allow the possibility of no cut.)