Area of each tile = 16" * 16" = 11/3 ft x 11/3 ft = 16/9 sq ft.
Area to be covered = 100 sq ft
So number of tiles required = 100/ (16/9) = 56.25
That is 57 tiles would be required.
That is the mathematical answer and is only valid if the area to be tiled is a "well-behaved" shape and that wastage can be limited to less than a tile. In real life, you should allow an extra 5%: more if you are not an expert.
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Tiles that are two feet on a side cover 4 square feet. 378 of them cover 1512 square feet.
If the tiles are 1 foot squares, it will take 1,650 of them to cover 1,650 square feet. If the tiles are 16 inch square (1-1/3 square feet, each), then it would take 1,238 tiles.
I'm going to assume that the tiles are square inches, rather than square feet. But they can be converted to 3 square feet, which means 70 of them would cover the space if it were perfectly rectangular. Get 80 to be safe.
76.6 tiles
67 tiles.