Answer:
900 m^2
Step-by-step explanation:
Let x = length, y = width
perimeter = 2x + 2y = 2(x + y) = 120. so
x + y = 60, or y = 60 - x
Area = xy = x(60 - x) = 60x - x^2
= -(x^2 - 60x + 30^2) + 30^2
= 900 - (x - 30)^2
Note (x - 30)^2 is never negative, at least zero.
When (x - 30) = 0, the area is the largest which is 900 m^2
