document.write( "Question 297877: the length of a rectangle is 1 inch more than 2 times its width. the area of the rectangle is 36 square inches. what is the length of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #214451 by Stitch(470)\"\" \"About 
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Set-Up
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\n" ); document.write( "Equation 1: \"L+=+1+%2B+2W\"
\n" ); document.write( "Equation 2: \"L+%2A+W+=+36\"\r
\n" ); document.write( "\n" ); document.write( "Solution:
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\n" ); document.write( "Substitute (1 + 2W) into equation 2 for L
\n" ); document.write( "Equation 2: \"L+%2A+W+=+36\"
\n" ); document.write( "\"%281+%2B+2W%29+%2A+W+=+36\" Simplify
\n" ); document.write( "\"W+%2B+2W%5E2+=+36\" Subtract 36 from both sides
\n" ); document.write( "\"W+%2B+2W%5E2+-+36+=+0\" Rewrite the equation
\n" ); document.write( "\"2W%5E2+%2B+W+-+36+=+0\"\r
\n" ); document.write( "\n" ); document.write( "Find the factors of 36: 1,2,3,4,6,9,12,18,36
\n" ); document.write( "In this case 4 & 9 fit our equation
\n" ); document.write( "\"%282W+%2B+9%29%2A%28W+-+4%29+=+2W%5E2+-+8W+%2B+9W+-+36+=+2W%5E2+%2B+W+-+36\"\r
\n" ); document.write( "\n" ); document.write( "The new equation: \"%282W+%2B+9%29+%2A+%28W-4%29+=+0\"
\n" ); document.write( "There are 2 answers: (2W + 9 = 0) & (W - 4 = 0)
\n" ); document.write( "\"2W+%2B+9+=+0\" Subtract 9 from both sides
\n" ); document.write( "\"2W+=+-9\" Divide both sides by 2
\n" ); document.write( "\"W+=+-4.5\"
\n" ); document.write( "Now you can not have a negative length so that rules out that answer
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\n" ); document.write( "For \"W+-+4+=+0\" Add 4 to both sides
\n" ); document.write( "\"highlight%28W+=+4%29\"
\n" ); document.write( "Now plug 4 into equation 1 for W
\n" ); document.write( "Equation 1: \"L+=+1+%2B+2W\"
\n" ); document.write( "\"L+=+1+%2B+2%2A%284%29\"
\n" ); document.write( "\"highlight%28L+=+9%29\"
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