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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "Success! \n" ); document.write( " \n" ); document.write( " |