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| Question 294493:  I have a piece of cardboard that is twice as long as it is wide. If I cut a 2-inch by 2-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 6720 cubic inches. What are the dimensions of the cardboard?
 Answer by checkley77(12844)
      (Show Source): 
You can put this solution on YOUR website! W=2L (W-4)(L-4)*2=6,720
 (2L-4)(L-4)*2=6,720
 (2L^2-4L-8L+16)*2=6,720
 4L^2-24L+32-6,720=0
 4L^2-24L-6,688=0
 4(L^2-6L-1,672)=0
 4(L-44)(L+38)=0
 L-44=0
 L=44 INCHES FOR THE LENGTH OF THE CARDBOARD.
 W=2*44=88 INCHES IS THE WIDTH OF THE CARDBOARD.
 PROOF:
 (88-4)(44-4)*2=6,720
 84*40*2=6,720
 6,720=6,720
 
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