document.write( "Question 300542: The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2 : 7. What are the lengths of the sides?
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Algebra.Com's Answer #215651 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2 : 7. What are the lengths of the sides?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let L be the length and W the width of the rectangle. We know that:\r \n" ); document.write( "\n" ); document.write( "1.) W/L = 2/7 or \n" ); document.write( "W = (2/7)*L\r \n" ); document.write( "\n" ); document.write( "2.) 36 = 2*W + 2*L\r \n" ); document.write( "\n" ); document.write( "Substituting (2/7)*L for W in equation 2.) we have:\r \n" ); document.write( "\n" ); document.write( "36 = 2*(2/7)*L + 2*L \n" ); document.write( "36 = (4/7)*L + (14/7)*L \n" ); document.write( "36 = (18/7)*L\r \n" ); document.write( "\n" ); document.write( "Multiply both sides by 7/18:\r \n" ); document.write( "\n" ); document.write( "36*(7/18) = 1*L \n" ); document.write( "14 = L\r \n" ); document.write( "\n" ); document.write( "Calculate W = (2/7)*L\r \n" ); document.write( "\n" ); document.write( "W = (2/7)*14 \n" ); document.write( "W = 4 \n" ); document.write( " |