My answer also assumes you meant 12-inch tiles. It will take 169 tiles, but assuming you do not use a diagonal pattern, after accounting for spacing for grout you will not need any extra for the cuts, and any small chips discovered along one edge of a few tiles can be cut off. The only extra you should need is in case you break one or two tiles during installation or sometime in the future. If you can be reasonably sure you will be able to go back to the store and buy a few more from the same lot in the event of a major mishap during installation, a half dozen extra, or 175 total, is probably plenty.

As an aside, a more typical tile size is 13 inches. In which, case you would only need 144 tiles without mishaps. 13-inch floor tiles frequently come in boxes of 14, so 11 boxes would be plenty.

If perchance you are asking about linoleum or vinyl tiles where there are no grout lines, then 175 tiles will still be enough as long as the room is definitely not more than 1/2 and inch greater than 13 ft at any point along the walls, because these tiles are not likely to break.

As an aside, a more typical tile size is 13 inches. In which, case you would only need 144 tiles without mishaps. 13-inch floor tiles frequently come in boxes of 14, so 11 boxes would be plenty.

If perchance you are asking about linoleum or vinyl tiles where there are no grout lines, then 175 tiles will still be enough as long as the room is definitely not more than 1/2 and inch greater than 13 ft at any point along the walls, because these tiles are not likely to break.