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11) The figure above represents a square sheet of cardboard with side length 40 inches. The sheet is cut and pieces are discarded. When the
11) The figure above represents a square sheet of cardboard with side length 40 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length x and two rectangular regions are discarded from the cardboard. What is the dimension of x that yields the greatest volume? (The volume V of a rectangular box is given by V=Iwh.) 12) Two posts, one 24 feet high and the other 56 feet high, stand 60 feet apart. They are to by held up by two wires, attached to a single stake, running from ground level to the top of each post. The stake is placed in between the two posts. Where should the stake be placed to use the least amount of wire
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