Area of each tile = 13x13 sq inches = 1.1736111... sq feet.
So number of tiles required = 200/1.1736111... = 170.4 tiles.
So, the mathematical answer is that you will require a minimum of 171 tiles.
Im real life, however, you should have an extra 5% to allow for breakages, dealing with awkward corners or curves, etc.
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16 square feet with less than one square foot of tile remaining
The answer will depend on the size of the tiles.
One 13 ft x 13 ft tile covers 169 square feet, so 2 will be enough.
the dimensions of one tile is 13x13 inches or 1.083x1.083 feet. Therefore area of one tile is 1.1736 square feet and that of 196 tiles is 196x1.1736=230.027
426 of them. Get 470 to be safe.