document.write( "Question 928486: Find the ratio of length to area of a rectangle if the ratio of length to perimeter is 1:6 and the area of rectangle is 5000 sq.m ? \n" ); document.write( "

Algebra.Com's Answer #563714 by TimothyLamb(4379) $\"\"$ $\"About$

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p = 2L + 2w
\n" ); document.write( "L/p = 1/6
\n" ); document.write( "L/(2L + 2w) = 1/6
\n" ); document.write( "Lw = 5000
\n" ); document.write( "---
\n" ); document.write( "L/(2L + 2w) = 1/6
\n" ); document.write( "6L = 2L + 2w
\n" ); document.write( "4L = 2w
\n" ); document.write( "w = 2L
\n" ); document.write( "---
\n" ); document.write( "Lw = 5000
\n" ); document.write( "L(2L) = 5000
\n" ); document.write( "LL = 2500
\n" ); document.write( "L = sqrt( 2500 )
\n" ); document.write( "L = 50
\n" ); document.write( "---
\n" ); document.write( "w = 2L
\n" ); document.write( "w = 2*50
\n" ); document.write( "w = 100
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "ratio of length to area:
\n" ); document.write( "L/LW = 1/W = 1/100 = 0.01
\n" ); document.write( "---
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