A right regular hexagonal prism has bases ABCDEF, A'B'C'D'E'F' and edges AA', BB', CC', DD', EE', FF', each of which is perpendicular to both hexagons. The height of the prism is 5 and the side length of the hexagons is 6. The plane P passes through points A, C', and E. The area of the portion of P contained in the prism can be expressed as m\sqrt{n}, where n is not divisible by the square of any prime. Find m + n.