The answer depends on the units used for 18 x 18. It should be quite obvious to anybody that the number of 18 inch x 18 inch tiles will be quite different from 18 cm x 18 cm tiles!
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As a 18 sq ft room has area equal to 18*144=2592 sq inches, you need 2592/(18*18)=8 18 inch tiles.
The answer will depend on the size of the tiles. Since there are no units given, the fact that the tiles are 18*18 is useless for answering the question.
18*18 = 324 tiles.
157 18 by 18 tiles are needed to cover 352 square feet.
Assuming you mean 18 inch by 18 inch, you will need 133 and 1/3 tiles.