document.write( "Question 122448: The perimeter of a rectangle is 108 meters. The ratio of the width to the length is 4 to 5. Find the width. If necessary, round to the nearest hundredth \n" ); document.write( "
Algebra.Com's Answer #89884 by edjones(8007) You can put this solution on YOUR website! Let L=length, w=width \n" ); document.write( "L/w=5/4 \n" ); document.write( "wL/w=5w/4 \n" ); document.write( "L=5w/4 \n" ); document.write( ". \n" ); document.write( "2L+2w=P \n" ); document.write( "(2*5w/4)+2w=108 Substitute 5w/4 for L \n" ); document.write( "5w/2 + 2w=108 \n" ); document.write( "5w+4w=216 multiply each side by 2 to eliminate fractions. \n" ); document.write( "9w=216 \n" ); document.write( "9w/9=216/9 \n" ); document.write( "w=24 m \n" ); document.write( ". \n" ); document.write( "L=5w/4 \n" ); document.write( "=5*24/4 \n" ); document.write( "=30 m \n" ); document.write( ". \n" ); document.write( "Check: \n" ); document.write( "24*2 + 30*2 = 108 \n" ); document.write( "48+60=108 true \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |