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
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "What is the length of the rectangle?\r
\n" ); document.write( "\n" ); document.write( "I think it wants me to set up a quadratic equation like:\r
\n" ); document.write( "\n" ); document.write( "4x^2-16-2304=0\r
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "Thanks in advance!
\n" ); document.write( "

Algebra.Com's Answer #656006 by stanbon(75887)\"\" \"About 
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( "
\n" );