370 sq feet = 370*144 = 53280 sq inches.
Area of each tile = 13*13 = 169 sq inches.
So number of tiles required = 53280/169 = 315.3, ie 316 tiles.
That is the mathematical answer and assumes that the area to be covered is well behaved and tha tyou can use up almost all the offcuts. In real life, you should allow 5% extra tiles for breakages and offcuts: more if you are not an expert.
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16 square feet with less than one square foot of tile remaining
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
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.