document.write( "Question 168362: With the lid closed, a \"take out\" box used by a restaurant has a volume of 121 cubic inches. Its length l equals its width w. A strip of tape is wrapped around the box to keep it closed. The length of the tape measures 20 inches, which is 1 inch more than the shortest distance around the box. Find the dimenstions of the box.
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document.write( "I would really appreciate all steps as I know he will have this on an exam and I want to be able to show all the work.
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document.write( "Thank you for the time you take to help me out. \n" );
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Algebra.Com's Answer #124098 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! With the lid closed, a \"take out\" box used by a restaurant has a volume of 121 cubic inches. \n" ); document.write( "Its length l equals its width w. A strip of tape is wrapped around the box to keep it closed. \n" ); document.write( "The length of the tape measures 20 inches, which is 1 inch more than the shortest distance around the box. Find the dimensions of the box. \n" ); document.write( "-------------------------------------------------------- \n" ); document.write( "l = w \n" ); document.write( "Nothing is said about the height; I'm going to assume its height is \"w\".\r \n" ); document.write( "\n" ); document.write( "----------- \n" ); document.write( "A wrap-around is w+w+w+w long \n" ); document.write( "-------------------- \n" ); document.write( "Inequality: \n" ); document.write( "tape = 4w+1 inches \n" ); document.write( "20 = 4w+1 \n" ); document.write( "19 = 4w \n" ); document.write( "w = (19/4) inches \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |