Posted by lulu on .
A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?

math 
Steve,
1000 * 500

math 
tom,
This is a quadratic equation where perimeter is only 3 sides so p=l x 2w and if width is x then side is 20002x then area = x(20002x) = 2000x2x^2 the vertex of this parabola will be x=500 and length is 1000 for area=500000
calculus derivative =20004x=0 for maxmin point and x=500