document.write( "Question 363286: If the perimeter of a tennis court is 228 feet and the length is 6 feet longer than twice the width, then what are the length and width?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #259680 by vasumathi(46)\"\" \"About 
You can put this solution on YOUR website!
Solution : The perimetre = 228 ft
\n" ); document.write( "Let l be the length and w be the width
\n" ); document.write( "then
\n" ); document.write( "l = 2w +6 ( since the length is 6 feet longer than twice the width)
\n" ); document.write( "perimetre in terms of l and w is ...
\n" ); document.write( "p = 2l + 2w
\n" ); document.write( "plug in for p and l
\n" ); document.write( " 228= 2(2w+6) + 2w
\n" ); document.write( "228 = 4w +12 +2w
\n" ); document.write( "228 = 6w +12
\n" ); document.write( "subtract 12 on both sides
\n" ); document.write( "228-12 = 6w +12 -12
\n" ); document.write( "216 = 6w
\n" ); document.write( "divide both sides by 6
\n" ); document.write( "216/6 =6w/6
\n" ); document.write( "36 = w
\n" ); document.write( "so width = 36 feet
\n" ); document.write( "then the length is ..
\n" ); document.write( "l = 2w + 6
\n" ); document.write( "= 2*36 +6
\n" ); document.write( "= 72 +6=78
\n" ); document.write( "so the length = 78 feet\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );