document.write( "Question 207205This question is from textbook Elementry and Intermediate Algebra
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document.write( ": I need some help please. This type of problem - I just don't get it. \r
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document.write( "Thomas is going to make an open-top box
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document.write( "by cutting equal squares from the four corners of an
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document.write( "11 inch by 14 inch sheet of cardboard and folding up the
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document.write( "sides. If the area of the base is to be 80 square inches, then
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document.write( "what size square should be cut from each corner? \n" );
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Algebra.Com's Answer #156667 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Starting with the 11 x 14 sheet,,,and taking a square with sides of \"d\" away, on all 4 corners, leaves a base of 80 sq inches. \n" ); document.write( ". \n" ); document.write( "(11-2d)(14-2d)=80 \n" ); document.write( "154 -22d-28d+4d^2 = 80 \n" ); document.write( "4d^2-50d+74=0 \n" ); document.write( "2d^2-25d+37=0 \n" ); document.write( ". \n" ); document.write( "solve using quadratic formula \n" ); document.write( ". \n" ); document.write( "a=2,,,,b=-25,,,,c=37 \n" ); document.write( ". \n" ); document.write( "d=[-(-25)+/-sqrt{(-25)^2 -4(2)(37)}]/2(2) \n" ); document.write( "d=[25+/-sqrt{625-296}]/4 \n" ); document.write( "d=[25+/-18.138]/4 \n" ); document.write( "d=1.715, 10.785(too big) \n" ); document.write( ". \n" ); document.write( "checking,,,(11-2(1.715))*(14-2(1.715))=(11-3.43)(14-4.43)=80 \n" ); document.write( "7.57*10.57=80,,,,ok \n" ); document.write( ". \n" ); document.write( " |