document.write( "Question 107611: The length of a rectangle garden is 7ft more than twice its width. If the perimeter of the garden is 56ft, find the width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #78380 by chitra(359)![]() ![]() You can put this solution on YOUR website! Let \"l\" be the length and \"w\" be the width of the rectangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So according to the given data, the perimeter = 56 units\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, by data: l = 7 + 2w and w = w\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We know that the perimeter is given by P = 2l + 2w \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So substituting for the values, we get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "56 = 2(7 + 2w) + 2w \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "56 = 14 + 4w + 2w\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "56 - 14 = 6w\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "42 = 6w\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> w = 7 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "by back substitution we get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "l = 7 + 2w\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "l = 7 + 14 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "l = 21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus, the solution\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( " |