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)\"\" \"About 
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Let the length of the garden be x ft and the width be y ft.\r
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "So, y = (15 + 1)/2 = 8\r
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\n" ); document.write( "\n" ); document.write( "Thus, length = 15 ft and width = 8 ft.
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