Abeach has to enclose a rectangular area, because some endangered species are nesting there. they have 200 feet of rope to rope off the area with. what is the maximum area that they can rope off?

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.