document.write( "Question 463567: The length of a rectangle is 4 meters more than its width. If the area is 96 square meters, what are the length and width? \n" ); document.write( "
Algebra.Com's Answer #317572 by algebrahouse.com(1659)\"\" \"About 
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\"The length of a rectangle is 4 meters more than its width. If the area is 96 square meters, what are the length and width?\"\r
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\n" ); document.write( "\n" ); document.write( "x = width
\n" ); document.write( "x + 4 = length\r
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\n" ); document.write( "\n" ); document.write( "Area of a rectangle is length x width\r
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\n" ); document.write( "\n" ); document.write( "x(x + 4) = 96 {area is length x width}
\n" ); document.write( "x² + 4x = 96 {used distributive property}
\n" ); document.write( "x² + 4x - 96 = 0 {subtracted 96 from both sides}
\n" ); document.write( "(x + 12)(x - 8) = 0 {factored into two binomials}
\n" ); document.write( "x + 12 = 0 or x - 8 = 0 {set each factor equal to 0}
\n" ); document.write( "x = -12 or x = 8 {solved each equation for x}
\n" ); document.write( "x = 8 {width cannot be negative}
\n" ); document.write( "x + 4 = 12 {substituted 8, in for x, into x + 4}\r
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\n" ); document.write( "\n" ); document.write( "width = 8 m and length = 12 m\r
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\n" ); document.write( "\n" ); document.write( "For more help like this, ask the house: www.algebrahouse.com
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