2. In the British Enclosure Movement, Jack forcibly occupied a piece of land. On this land, there is 1 tree at each integer point. It is known that the occupied land is a triangle with two vertices at $(5,0),(25,0)$ and an area of 200. How many trees can he occupy at most $\qquad$ (including the boundary of the triangle)?
2. 231

Using Pick's Theorem, the maximum value is obtained when the other vertex is $(5,20)$ or $(25,20)$.