document.write( "Question 200005: a farmer has 500m of fencing to build a rectangular enclosure along a river.No fencing is needed along the riverbank.what would be the maximum area enclosed by the fence?what would be the equation? \n" ); document.write( "
Algebra.Com's Answer #150393 by RAY100(1637)\"\" \"About 
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Draw a rough sketch of the rectangle. Let left side be river, perpendiculars to river (a), and parallel to river (b).
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\n" ); document.write( "Perimeter is 2a +b = 500,,,,,River side does not need fence
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\n" ); document.write( "b= 500 -2a
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\n" ); document.write( "Area of rectangle is A= l*w = a*b
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\n" ); document.write( "making a quick table
\n" ); document.write( "a,,,,,,,,,,,,,b,,,,,,,,,,,,,Area
\n" ); document.write( "0,,,,,,,,,,,225,,,,,,,,,,,,,,,,,,,,0
\n" ); document.write( "100,,,,,,,300,,,,,,,,,,,30,000
\n" ); document.write( "124,,,,,,,252,,,,,,,,,,,31,248
\n" ); document.write( "125,,,,,,,250,,,,,,,,,,,31,250,,,,,,,,,,max area
\n" ); document.write( "126,,,,,,,248,,,,,,,,,,,31,248
\n" ); document.write( "200,,,,,,,100,,,,,,,,,,,20,000
\n" ); document.write( "250,,,,,,,,,,,0,,,,,,,,,,,,,,,,,,,,0
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\n" ); document.write( "dim are a=125, b=25, for a max area of 31,250 m^2
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