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?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #549215 by JoelSchwartz(130)\"\" \"About 
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( "
\n" );