document.write( "Question 1011467: Suppose that the length of a certain rectangle is 9 meters less than four times its width. The perimeter of the rectangle is 62 meters. Find the length and width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #627114 by Theo(13342)\"\" \"About 
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let x = width.
\n" ); document.write( "then 4x-9 = length
\n" ); document.write( "perimeter = 2 * length + 2 * width = 62
\n" ); document.write( "you get 2 * x + 2 * (4x-9) = 62
\n" ); document.write( "simplify to get 2x + 8x - 18 = 62
\n" ); document.write( "add 18 to both sides of this equation to get:
\n" ); document.write( "2x + 8x = 80
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "10x = 80
\n" ); document.write( "divide both sides of this equation by 10 to get:
\n" ); document.write( "x = 8
\n" ); document.write( "when x = 8, 4x-9 = 32-9 = 23.
\n" ); document.write( "your length is 23 and your width is 8.
\n" ); document.write( "that's your solution.
\n" ); document.write( "to confirm:
\n" ); document.write( "2 * length + 2 * width = 62 leads to:
\n" ); document.write( "2*23 + 2*8 = 46 + 16 = 62
\n" ); document.write( "length = 4 * width - 9 leads to:
\n" ); document.write( "23 = 4 * 8 - 9 = 32 - 9 = 23.\r
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