document.write( "Question 681107: I need help with this word problem:My online HW is giving me one last try on this problem.
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document.write( "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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document.write( "Thank you so much for looking at the problem. \n" );
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Algebra.Com's Answer #422567 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( "--------------------- \n" ); document.write( "Vol = 3*(L-6)*(W-6) = 360 \n" ); document.write( "L = W + 7 \n" ); document.write( "------------ \n" ); document.write( "3*(W+7-6)*(W-6) = 360 \n" ); document.write( "(W+1)*(W-6) = 120 \n" ); document.write( "W^2 - 5W - 126 = 0 \n" ); document.write( "(W+9)*(W-14) = 0 \n" ); document.write( "W = 14 (Ignore the -9) \n" ); document.write( "L = 21 \n" ); document.write( " \n" ); document.write( " |