document.write( "Question 317158: The area of a rectangles is 63 square feet.The length is 2 feet longer than the width.What is the width of the rectangle? \n" ); document.write( "

Algebra.Com's Answer #227037 by nyc_function(2741) $\"\"$ $\"About$

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Let A = area = 63\r
\n" ); document.write( "\n" ); document.write( "length = x + 2\r
\n" ); document.write( "\n" ); document.write( "width = x\r
\n" ); document.write( "\n" ); document.write( "63 = x(x + 2)\r
\n" ); document.write( "\n" ); document.write( "63 = x^2 + 2x\r
\n" ); document.write( "\n" ); document.write( "0 = x^2 + 2x - 63\r
\n" ); document.write( "\n" ); document.write( "You now have a quadratic equation.\r
\n" ); document.write( "\n" ); document.write( "0 = (x - 7)(x + 9)\r
\n" ); document.write( "\n" ); document.write( "x - 7 = 0\r
\n" ); document.write( "\n" ); document.write( "x = 7\r
\n" ); document.write( "\n" ); document.write( "x + 9 = 0\r
\n" ); document.write( "\n" ); document.write( "x = -9....We reject this negative answer because distance must be positive.\r
\n" ); document.write( "\n" ); document.write( "The width = x or 7 feet.\r
\n" ); document.write( "\n" ); document.write( "The length = x + 2 or 7 + 2 or 9.\r
\n" ); document.write( "\n" ); document.write( "Width is 7 feet.\r
\n" ); document.write( "\n" ); document.write( "Length is 9 feet.\r
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