document.write( "Question 259812: The length of a rectangle is 3 times the width. If the length is decreased by 4 m and the width is increased by 1 m. te perimeter will be 66 m. What are the dimensions of the original rectangle? \n" ); document.write( "
Algebra.Com's Answer #191313 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation for each statement:
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\n" ); document.write( "The length of a rectangle is 3 times the width.
\n" ); document.write( "L = 3W
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\n" ); document.write( "If the length is decreased by 4 m and the width is increased by 1 m the perimeter will be 66 m.
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\n" ); document.write( "2(L-4) + 2(W+1) = 66
\n" ); document.write( "2L - 8 + 2W + 2 = 66
\n" ); document.write( "2L + 2W - 6 = 66
\n" ); document.write( "2L + 2W = 66 + 6
\n" ); document.write( "2L + 2W = 72
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "L + W = 36
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\n" ); document.write( "What are the dimensions of the original rectangle?
\n" ); document.write( "Replace L with 3W
\n" ); document.write( "3W + W = 36
\n" ); document.write( "4W = 36
\n" ); document.write( "W = \"36%2F4\"
\n" ); document.write( "W = 9 m, original width
\n" ); document.write( "then
\n" ); document.write( "3(9) = 27 m original length
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\n" ); document.write( "Check this
\n" ); document.write( "2(23) + 2(10) =
\n" ); document.write( "46 + 20 = 66
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