document.write( "Question 92604: The length of a rectangular garden is 1 ft less than 2 times its width. If the perimeter of the garden is 46 ft, find the dimensions of the garden. \n" ); document.write( "
Algebra.Com's Answer #67419 by psbhowmick(878)![]() ![]() You can put this solution on YOUR website! Let the length of the garden be x ft and the width be y ft.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 times width = 2y ft. \n" ); document.write( "1 ft less than 2 times width = (2y - 1) ft. \n" ); document.write( "This value is equal to length = x ft. \n" ); document.write( "So, 2y - 1 = x \n" ); document.write( "or 2y = x + 1 ________(1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter = 2(Length + Width) \n" ); document.write( "So, 46 = 2(x + y) ________ (2)\r \n" ); document.write( "\n" ); document.write( "Substituting, '2y' from (1) in (2) \n" ); document.write( "46 = 2x + (x + 1) \n" ); document.write( "or 3x = 46 - 1 = 45 \n" ); document.write( "or x = 45/3 \n" ); document.write( "or x = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, y = (15 + 1)/2 = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus, length = 15 ft and width = 8 ft. \n" ); document.write( " |