In a building with three floors, each floor has two flats: Flat A (west) and Flat B (east). Each flat has an area of 576 sq ft but a different number ...

In a building with three floors, each floor has two flats: Flat A (west) and Flat B (east). Each flat has an area of 576 sq ft but a different number of rooms. The area of each room in one of the flats on an even-numbered floor is 64 sq ft. The total number of rooms on the third floor is 7. The flat with rooms of area 72 sq ft is on an odd-numbered floor. The flat directly below the flat with 9 rooms has a total room area of 288 sq ft. There is exactly one floor between the flat with room area 192 sq ft and the flat with room area 72 sq ft. Also, there is no flat to the west of the flat having 6 rooms.

What is the area of a room in Flat A on the second floor?