Area of each tile = 16"*16" = 1.33 ft * 1.33 ft = 1.77... sq ft.
You would, therefore require a minimum of 550/1.77... = 309.4 or 310 tiles.
That assumes that the shape to be covered is well behaved and that all offcuts are used - not a realistic assumption in real life. It is usually recommended that you get 10% extra to allow for wastage.
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Assuming you mean 16x16 inches tiles... 441 tiles would cover the area exactly
A 10'-0" X 10'-0" area is 120" X 120". 120" divided by 16" = 7.5 tiles. Therefore your room is 7.5 tiles X 7.5 tiles. This equates to 49 full tiles + 14 half tiles (or 7 full tiles) + a tile for the one corner. This totals 57 tiles. I would add extra to cover mistakes when cutting the tiles - check quantity per package and round up.
You need just two tiles, so one box of 9 tiles will be more than enough! Alternatively, you could try including the units used for the various measurements.
78.47 Pavers
You will need at least 66,828 1/4 tiles to cover that area.