In a hall, 225 chairs are arranged in such a way that the number of rows is equal to the number of columns. If one more row and column of chairs is added, find the new number of chairs in the hall.
36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible?