document.write( "Question 905445: The ratio between the perimeter and the width of a rectangle is 14 : 3. If the area of the rectangle is 108 sq. cm, what is the length of the rectangle?
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Algebra.Com's Answer #549215 by JoelSchwartz(130)![]() ![]() ![]() You can put this solution on YOUR website! A=108 \n" ); document.write( "108=Lw \n" ); document.write( "w=108/L \n" ); document.write( "p/w=14/3 \n" ); document.write( "p=2L+2w \n" ); document.write( "(2L+2w)/w=14/3 \n" ); document.write( "2L+2w=14/3w \n" ); document.write( "2L+2(108/L)=14/3(108/L) \n" ); document.write( "2L+216/L=504/L \n" ); document.write( "2L^2=504-216 \n" ); document.write( "2L^2=288 \n" ); document.write( "L^2=144 \n" ); document.write( "L=12 \n" ); document.write( "w=108/12 \n" ); document.write( "w=9 \n" ); document.write( "p=2*12+2*9 \n" ); document.write( "p=24+18 \n" ); document.write( "p=42 \n" ); document.write( "p/w=14/3 \n" ); document.write( "42/9=14/3 \n" ); document.write( "(42/9)/3=14/3 \n" ); document.write( "(42/3)/(9/3)=14/3 \n" ); document.write( "14/3=14/3 \n" ); document.write( " |