Given:
rectangular area
200 feet of rope to rope off the area with.
200 feet is the perimeter of the rectangle. Since its a rectangle its length should be greater than its width.
Perimeter = 2(L + W)
200 ft = 2 (L + W)
200 ft / 2 = (L + W)
100 ft = L + W
100 ft can be distributed as follows:
Length Width Area = Length * Width
90 10 900
85 15 1,275
80 20 1,600
75 25 1,875
70 30 2,100
65 35 2,275
60 40 2,400
55 45 2,475
The maximum area that can be roped off is 2,475 ft².