document.write( "Question 257156: A rectangular field with area 5000 meters squared is enclosed by 300 meters of fencing. Find the dimensions of the field. \n" ); document.write( "
Algebra.Com's Answer #189101 by unlockmath(1688)\"\" \"About 
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Hello,
\n" ); document.write( "Let's set up 2 equations and work from that. x will be one side and y the other side.
\n" ); document.write( "x*y=5000 sq meters
\n" ); document.write( "2x+2y=300 meters
\n" ); document.write( "Lets' work the first equation so\"
\n" ); document.write( "x=5000/y Now plug this into the second equation to give us:
\n" ); document.write( "2(5000/y)+2y=300 rewritten it will be:
\n" ); document.write( "10000/y+2y=300 Multiply by \"y\" to be:
\n" ); document.write( "10000+2y^2=300y Subtract 300y from both sides:
\n" ); document.write( "2y^2-300y+10000=0 Pull 2 out from this:
\n" ); document.write( "2(y^2-150+5000)=0 Factor this to be:
\n" ); document.write( "2(y-50)(y-100)=0 we have 2 solutions:
\n" ); document.write( "y=50
\n" ); document.write( "y=100 Now plug these into the first equation and we'll have:
\n" ); document.write( "x=100
\n" ); document.write( "x=50
\n" ); document.write( "This works out that one side is 50 meters and the other side is 100 meters.
\n" ); document.write( "From this we can figure out the perimeter and area which is 300 meters around and 5000 square meters for the area.
\n" ); document.write( "Good problem!
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
\n" ); document.write( "Check out a new math book at:
\n" ); document.write( "www.math-unlock.com
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