document.write( "Question 831773: The perimeter of a rectangle is 84 feet. The ratio of the width to the length is
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document.write( "2:5. Find the length and the width. How do i set up this ratio? 2 is to 5 as x is to 84? I don't know how to set the problem up! \n" );
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Algebra.Com's Answer #501641 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! we are given width (w)/length (l) = 2/5, now cross multiply the fraction \n" ); document.write( "5*w = 2*l NOTE that * means multiply \n" ); document.write( "solve for w = (2*l) / 5 \n" ); document.write( "we also know that \n" ); document.write( "2*w + 2*l = 84 \n" ); document.write( "now substitute for w \n" ); document.write( "2 *(2*l)/5 +2*l = 84 \n" ); document.write( "multiply both sides of = by 5 \n" ); document.write( "2*(2*l) +10*l = 420 \n" ); document.write( "14*l = 420 \n" ); document.write( "l = 30 \n" ); document.write( "substitute in perimeter equation \n" ); document.write( "2*w + 2*30 = 84 \n" ); document.write( "divide both sides of = by 2 \n" ); document.write( "w +30 = 42 \n" ); document.write( "w = 12 \n" ); document.write( "ratio of w/l = 12/30 = 2/5 \n" ); document.write( "our answer checks :-) \n" ); document.write( "width is 12 feet and length is 30 feet \n" ); document.write( " \n" ); document.write( " |