document.write( "Question 122147: solve and show the equation used for the solution.\r
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document.write( "The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle. \n" );
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Algebra.Com's Answer #89750 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! Question:\r \n" ); document.write( "\n" ); document.write( "The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle\r \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( "\n" ); document.write( "The perimeter of the rectangle is given by the formula,\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2(length +width)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Assume that, width = x inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then its length = 2x+2 inches( because it is given that more than twice its width)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So P = 2( 2x+2 +x) that is substitute the values of length and width.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But P = 34 inches, given\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 34 = 2( 3x + 2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 34 = 6x + 4\r \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( "\n" ); document.write( "==> 34- 4 = 6x + 4 -4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 30 = 6x \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 6 on both sides..\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( "==> 5 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is width = 5 inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So length = 2(5) + 2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> length = 12 inches.\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( "Regards.\r \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( "\n" ); document.write( " \n" ); document.write( " |