One 13 ft x 13 ft tile covers 169 square feet, so 2 will be enough.
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16 square feet with less than one square foot of tile remaining
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
13 x 13 (assumed inches) is 13/12 feet x 13/12 feet, so the area of one tile is 169/144 square feet. To cover 100 square feet you need (100)/(169/144) tiles which works out to (100 x 144)/169 = 14400/169 = 85.2, make it 86 tiles
Tiles that are two feet on a side cover 4 square feet. 378 of them cover 1512 square feet.
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.