document.write( "Question 93349: John made a rectangular pen for his dog using 28 feet of fencing.
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document.write( "If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen? \n" );
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Algebra.Com's Answer #67972 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! Question: \r \n" ); document.write( "\n" ); document.write( "John made a rectangular pen for his dog using 28 feet of fencing. \n" ); document.write( "If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( "\n" ); document.write( "Given data:\r \n" ); document.write( "\n" ); document.write( "* Recangular Pen\r \n" ); document.write( "\n" ); document.write( "* 28 feet fencing ==> perimeter of the rectangle is 28 feet.\r \n" ); document.write( "\n" ); document.write( "* width of the pen is 2 feet more than one-half the length.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let us assume that , length = x feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One half of the length = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 2 feet more than one-half the length = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, width = \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter of the rectangle is given by the formula,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2 (length + width)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 28 = 2 ( x + \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide throughout the expression by 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 14 = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Again multiply throughout by 2.\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( " \n" ); document.write( "\n" ); document.write( "==> \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 4 from both sides....\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 28 - 4 = 3x + 4 - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 24 = 3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 8 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is length = 8 feet\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, width = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> width 4 + 2 = 6 feet.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence the answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope ypou found the explanation useful.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regards.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Praseena.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |