document.write( "Question 86703: Solve the following word problems. Be sure to show the equation you use for the solution.
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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.
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Algebra.Com's Answer #62731 by praseenakos@yahoo.com(507)![]() ![]() 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( "==> \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( " |