document.write( "Question 303596: The length of a garden is 5 feet longer than its width. A 2 foot wide sidewalk
\n" ); document.write( "surrounds the garden. The area of the sidewalk is 76 sq. feet. What are the
\n" ); document.write( "dimensions of the garden?
\n" ); document.write( "

Algebra.Com's Answer #217566 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
The length of a garden is 5 feet longer than its width. A 2 foot wide sidewalk
\n" ); document.write( "surrounds the garden. The area of the sidewalk is 76 sq. feet. What are the
\n" ); document.write( "dimensions of the garden?\r
\n" ); document.write( "\n" ); document.write( "let the width of the garden be x\r
\n" ); document.write( "\n" ); document.write( "The length will be x+5 feet\r
\n" ); document.write( "\n" ); document.write( "The sidewalk width = 2 feet.\r
\n" ); document.write( "\n" ); document.write( "Width of garden + sidewalk = x+4 ( two on either side)\r
\n" ); document.write( "\n" ); document.write( "Length of garden + sidewalk = (x+5) +4\r
\n" ); document.write( "\n" ); document.write( "Total area = (x+9)(x+4) \r
\n" ); document.write( "\n" ); document.write( "Area of sidewalk = 76\r
\n" ); document.write( "\n" ); document.write( "(x+9)(x+4) - x(x+5) = 76\r
\n" ); document.write( "\n" ); document.write( "x^2+13x+36 - x^2-5x= 76\r
\n" ); document.write( "\n" ); document.write( "8x=76-36\r
\n" ); document.write( "\n" ); document.write( "8x = 40\r
\n" ); document.write( "\n" ); document.write( "x=5 feet width of the garden\r
\n" ); document.write( "\n" ); document.write( "5+5 = 10 feet is the length of the garden\r
\n" ); document.write( "\n" ); document.write( "Ananth\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );