Question 90280
2x+2y=200
xy=area
x=(-2y+200)/2 or x=-y+100 then the area in terms of x is:
(-y+100)y=area or -y^2+100y=area.
the maximum area is obtained by a square where x=y. thus
2x+2x=200
4x=200
x=200/4
x=50 meters for each side.
50*50=2500 meters^2 for the maximum area.