document.write( "Question 976216: A rectangular Persian carpet has a perimeter of 196 in. The length of the carpet is 18in more than the width. What are the dimensions of the carpet? \n" ); document.write( "
Algebra.Com's Answer #597856 by JulietG(1812)\"\" \"About 
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Perimeter = 2length + 2width
\n" ); document.write( "P = 2L + 2W
\n" ); document.write( "P = 196
\n" ); document.write( "L = W + 18
\n" ); document.write( "Substitute the known value of L into the equation
\n" ); document.write( "196 = 2(W+18) + 2W
\n" ); document.write( "196 = 2W + 36 + 2W
\n" ); document.write( "196 = 4W + 36
\n" ); document.write( "Subtract 36 from each side
\n" ); document.write( "160 = 4W
\n" ); document.write( "Divide each side by 4
\n" ); document.write( "40 = W
\n" ); document.write( "If the width is 40, then the Length is 40+18, or 58
\n" ); document.write( "Check:
\n" ); document.write( "196 = 2(58) + 2(40)
\n" ); document.write( "196 = 116 + 80
\n" ); document.write( "196 = 196
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