document.write( "Question 86703: Solve the following word problems. Be sure to show the equation you use for the solution.
\n" ); document.write( "44) Geometry. The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #62731 by praseenakos@yahoo.com(507)\"\" \"About 
You can put this solution on YOUR website!
Question:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve the following word problems. Be sure to show the equation you use for the solution.
\n" ); document.write( "44) Geometry. The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here length of the ground is given in terms of width....(The length of a rectangular playing field is 5 ft less than twice its width. )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So take, width = x feet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Twice the width = 2x feet\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5 feet less that twice the width = 2x - 5 feet\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Length = 2x - 5 feet.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Perimeter = 230 feet( given,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "By the formula, perimeter = 2(length + width ) = 230 feet.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> 2 ( 2x -5 + x ) = 230\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Divide through out by 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> 2x - 5 + x = 115\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> 2x + x - 5 = 115\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> 3x - 5 = 115\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add 5 to both sides of the equation...\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> 3x - 5 + 5 = 115 + 5\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> 3x = 120\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Divide throughout by 3\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> \"+3x%2F3+=+120%2F3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> x = 40\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So width = 40 feet.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hence length = 2*40 - 5 = 80 - 5 = 75 feet.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope you found the explanation useful.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Warm Regards.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Praseena.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );