document.write( "Question 461488: a rectangular yard is 10 feet longer than it is wide. the area of the yard is 119 square feet. find the length and the width of the yard. \n" ); document.write( "
Algebra.Com's Answer #316497 by algebrahouse.com(1659)\"\" \"About 
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x = width
\n" ); document.write( "x + 10 = length {yard is 10 feet longer than it is wide}\r
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\n" ); document.write( "\n" ); document.write( "Area of a rectangle = width x length\r
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\n" ); document.write( "\n" ); document.write( "x(x + 10) = 119 {area is width x length}
\n" ); document.write( "x² + 10x = 119 {used distributive property}
\n" ); document.write( "x² + 10x - 119 = 0 {subtracted 110 from both sides}
\n" ); document.write( "(x + 17)(x - 7) = 0 {factored into two binomials}
\n" ); document.write( "x + 17 = 0 or x - 7 = 0 {set each factor equal to 0}
\n" ); document.write( "x = -17 or x = 7 {solved each equation for x}
\n" ); document.write( "x = 7 {width cannot be negative}
\n" ); document.write( "x + 10 = 17 {substituted 7, in for x, into x + 10}\r
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\n" ); document.write( "\n" ); document.write( "width = 7 ft
\n" ); document.write( "length = 17 ft
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