1) A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence?
2) A 10 m long piece of wire is cut into two pieces. One piece is bent into a square, and the other into an equilateral triangle. How much wire should be used for the square in order to maximize its area? How much should be used in order to MINIMIZE the square`s area?