The area of the room is 370 sq ft = 370*12*12 sq inches
So number of tiles required = 370*12*12/(14*14) = 271.84
that is 272 tiles would be required.
However, that answer is good only for a mathematical exercise. In real life, you will not be able to use up all the off-cuts; there will be some breakages etc. So you should allow at least 5% more tiles.
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144
18..
18*18 = 324 tiles.
Assuming none are broken during the installation process, 64 full tiles will be required.
12 inches = 1 foot Thus the tiles would be 1 foot square. You therefore need 30 to cover a 30 square foot room.