A wire of length 12 meter is cut into two parts; one part is bent to form a square, and the other is bent to form an equilateral triangle. Where the cut cut should be made if

Question

A wire of length 12 meter is cut into two parts; one part is bent to form a square, and the other is bent to form an equilateral triangle. Where the cut cut should be made if
a) the sum of the two areas is to be a maximum?
b) the sum of the two areas is be a minimum?

Steve · Answer

see the related questions below; just change the numbers.