document.write( "Question 86695: Solve algebraically using only one variable. The length of a rectangle is two more than twice its width. If the area of the rectangle is 84, find the length and width. \n" ); document.write( "
Algebra.Com's Answer #62711 by stanbon(75887)\"\" \"About 
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Solve algebraically using only one variable. The length of a rectangle is two more than twice its width. If the area of the rectangle is 84, find the length and width.
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\n" ); document.write( "Let the width be x; then the length is 2x+2
\n" ); document.write( "EQUATION:
\n" ); document.write( "Area = width*length
\n" ); document.write( "84 = x(2x+2)
\n" ); document.write( "42 = x(x+1)
\n" ); document.write( "x^2+x-42=0
\n" ); document.write( "(x+7)(x-6)=0
\n" ); document.write( "Positive answer:
\n" ); document.write( "x=6 (width)
\n" ); document.write( "2x+2 = 14 (length)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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