document.write( "Question 464792: l=? w=?\r
\n" ); document.write( "\n" ); document.write( "A= 120m
\n" ); document.write( "P=46m
\n" ); document.write( "

Algebra.Com's Answer #318429 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
l=? w=?
\n" ); document.write( "A= 120m
\n" ); document.write( "P=46m
\n" ); document.write( "------------
\n" ); document.write( "P = 2(L+W) = 46
\n" ); document.write( "---
\n" ); document.write( "L+W = 23
\n" ); document.write( "------------------
\n" ); document.write( "A = LW = 120
\n" ); document.write( "L = 120/W
\n" ); document.write( "------------------
\n" ); document.write( "Solve the two equation system:
\n" ); document.write( "L+W = 23
\n" ); document.write( "L = 120/W
\n" ); document.write( "---
\n" ); document.write( "Substitute for \"L\" and solve for \"W\":
\n" ); document.write( "(120/W)+W = 23
\n" ); document.write( "---
\n" ); document.write( "120 + W^2 = 23W
\n" ); document.write( "---
\n" ); document.write( "W^2 - 23W + 120 = 0
\n" ); document.write( "---
\n" ); document.write( "W = [23+- sqrt(23^2-4*1*120)]/2
\n" ); document.write( "---
\n" ); document.write( "W = [23 + sqrt(49)]/2
\n" ); document.write( "--
\n" ); document.write( "W = 15 m
\n" ); document.write( "-----
\n" ); document.write( "Solve for \"L\":
\n" ); document.write( "L + W = 23
\n" ); document.write( "L + 15 = 23
\n" ); document.write( "L = 8 m
\n" ); document.write( "=====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "================
\n" ); document.write( "
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