Question 681107
The width of a rectangular piece of cardboard is 7 inches less than the length. A square piece that measures 3 inches on each side is cut from the corner, than the sides are turned up to make a box with volume 360 inches^3. Find the length and width of the original piece of cardboard.
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Vol = 3*(L-6)*(W-6) = 360
L = W + 7
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3*(W+7-6)*(W-6) = 360
(W+1)*(W-6) = 120
W^2 - 5W - 126 = 0
(W+9)*(W-14) = 0
W = 14 (Ignore the -9)
L = 21