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)![]() ![]() ![]() You can put this solution on YOUR website! Draw a rough sketch of the rectangle. Let left side be river, perpendiculars to river (a), and parallel to river (b). \n" ); document.write( ". \n" ); document.write( "Perimeter is 2a +b = 500,,,,,River side does not need fence \n" ); document.write( ". \n" ); document.write( "b= 500 -2a \n" ); document.write( ". \n" ); document.write( "Area of rectangle is A= l*w = a*b \n" ); document.write( ". \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 \n" ); document.write( ". \n" ); document.write( "dim are a=125, b=25, for a max area of 31,250 m^2 \n" ); document.write( " |