document.write( "Question 665788: The length of a rectangle is 8 in. more than its width. The perimeter of the rectangle is 24 in. what are the width and length of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #414084 by Shana-D77(132)\"\" \"About 
You can put this solution on YOUR website!
We only need one formula here, and some creative thinking...
\n" ); document.write( "Perimeter of a rectangle = 2L + 2W
\n" ); document.write( "Now we need to translate:
\n" ); document.write( "\"The length (L)of a rectangle is(=) 8 in. more than(+8) its width(W)\" so,
\n" ); document.write( "L = W + 2
\n" ); document.write( "

\n" ); document.write( "Now, we are told that the perimeter is 24, so,
\n" ); document.write( "24 + 2L + 2W
\n" ); document.write( "And we built the equation \"L = W + 8\", so we can substitute in \"W + 8\" for L:
\n" ); document.write( "24 = 2L + 2W
\n" ); document.write( "24 = 2(W + 8) + 2W
\n" ); document.write( "24 = 2W + 16 + 2w (distributed the 2)
\n" ); document.write( "8 = 4W (suntracted 16 from both sides and combined the two 2Ws)
\n" ); document.write( "W= 2 (divided both sides by 2)
\n" ); document.write( "If W = 2, and L = W + 8, then L = 10.
\n" ); document.write( "CHECK:
\n" ); document.write( "\"The perimeter of the rectangle is 24.\"
\n" ); document.write( "P = 2W + 2L
\n" ); document.write( "24 = 2(2) + 2(10)
\n" ); document.write( "24 = 4 + 20 YES.
\n" ); document.write( "So,
\n" ); document.write( "W = 2 and L = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );