document.write( "Question 1041076: If someone could help me with a step by step on how to solve this word problem in my quadratic equations chapter I would be most grateful! It says:\r
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document.write( "The area of a rectangle in 48 in^2. It has w width that is 16 inches less than 4 times its length.\r
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document.write( "What is the length of the rectangle?\r
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document.write( "I think it wants me to set up a quadratic equation like:\r
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document.write( "4x^2-16-2304=0\r
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document.write( "but I'm not sure if I am on the right track? I have a few of these rectangle word problems that are really tripping me up! \r
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document.write( "Thanks in advance! \n" );
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Algebra.Com's Answer #656006 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The area of a rectangle in 48 in^2. It has w width that is 16 inches less than 4 times its length. \n" ); document.write( "What is the length of the rectangle? \n" ); document.write( "----- \n" ); document.write( "Length = L \n" ); document.write( "Width = 4L-16 \n" ); document.write( "------- \n" ); document.write( "Equation: \n" ); document.write( "L(4L-16) = 48 in^2 \n" ); document.write( "------------------------ \n" ); document.write( "4L^2 - 16L - 48 = 0 \n" ); document.write( "------ \n" ); document.write( "L^2 - 4L - 12 = 0 \n" ); document.write( "--------- \n" ); document.write( "Factor:: \n" ); document.write( "(L-6)(L+2) = 0 \n" ); document.write( "----- \n" ); document.write( "Positive solution:: \n" ); document.write( "Length = 6 inches \n" ); document.write( "Width = 4L-16 = 24-16 = 8 inches \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |