document.write( "Question 404627: The width of a rectangle is 7m more than the length. Find the dimensions if the area is 60 sq. meters. \n" ); document.write( "
Algebra.Com's Answer #285945 by algebrahouse.com(1659)\"\" \"About 
You can put this solution on YOUR website!
\"The width of a rectangle is 7m more than the length. Find the dimensions if the area is 60 sq. meters.\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = length
\n" ); document.write( "x + 7 = width {width is seven more than the length}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x(x + 7) = 60 {length x width equals area of a rectangle}
\n" ); document.write( "x^2 + 7x = 60 {used distributive property}
\n" ); document.write( "x^2 + 7x - 60 = 0 {subtracted 60 from both sides}
\n" ); document.write( "(x + 12)(x - 5) = 0 {factored into two binomials}
\n" ); document.write( "x + 12 = 0 or x - 5 = 0 {set each factor equal to 0}
\n" ); document.write( "x = -12 or x = 5 {solved each equation for x}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "length cannot be negative\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 5m {length}
\n" ); document.write( "x + 7 = 12m {width}\r
\n" ); document.write( "\n" ); document.write( "www.algebrahouse.com \n" ); document.write( "
\n" );