document.write( "Question 91310: The length of a rectangle is 1 cm more than 5 times its width. If the area of the rectangle is 89 cm2, find the dimensions of the rectangle to the nearest thousandth.\r
\n" ); document.write( "\n" ); document.write( "I wonder if this is somewhat on track? I have been baffled for the past three hours,on this equation.
\n" ); document.write( "(1+2x)(5+2x)=89
\n" ); document.write( "3+-the square root of 93/2
\n" ); document.write( "the square root of 93 divided by 2=9.64divided by 2=4.862182 plus three=7.82182
\n" ); document.write( "and 4.862182-3=1.82182
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Algebra.Com's Answer #66319 by tutor_paul(519)\"\" \"About 
You can put this solution on YOUR website!
Write an equation for the length in terms of width:
\n" ); document.write( "Equation #1: \"L=5W%2B1\"
\n" ); document.write( "Write an expression for the Area:
\n" ); document.write( "Equation #2: \"LW=89\"
\n" ); document.write( "Now you have 2 equations with 2 unknowns. Any time you have at lease as many equations as you have unknowns, you can find the unknowns!
\n" ); document.write( "===================================
\n" ); document.write( "Substitute the value of L from Equation #1 into Equation #2:
\n" ); document.write( "\"%285W%2B1%29W=89\"
\n" ); document.write( "\"5W%5E2%2BW-89=0\"
\n" ); document.write( "Apply the quadratic formula:
\n" ); document.write( "\"W=%28-1%2B-sqrt%281%5E2-%284%2A5%2A%28-89%29%29%29%29%2F%282%2A5%29\"
\n" ); document.write( "\"W=%28-1%2B-sqrt%281781%29%29%2F10\"
\n" ); document.write( "W=(-1+-42.2)/10
\n" ); document.write( "W=4.12,W=-4.32
\n" ); document.write( "The width needs to be positive, so throw out the negative result:
\n" ); document.write( "\"highlight%28W=4.12%29\"
\n" ); document.write( "Now, substitute this value of W into Equation #1 to find L.
\n" ); document.write( "I will leave that part to you :-)
\n" ); document.write( "Goos Luck,
\n" ); document.write( "tutor_paul@yahoo.com\r
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