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A gift box is made from a rectangular piece of cardboard that is three times as long as it is wide. 5 cm squares are cut from each corner and the ends are then folded up to make the box. If the box's volume is 4340 cm^3, find the length and width of the cardboard.

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5 (w - 10) (3w - 10) = 4340

3 w^2 - 40 w - 768 = 0

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