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We ,know that :no. of tiles = area of room /area of tiles .so,no.of tiles =36 X42 /2x2=378
You will need at least 66,828 1/4 tiles to cover that area.
Assuming you mean 16x16 inches tiles... 441 tiles would cover the area exactly
You would need 29 tiles of that size to cover that area (28.77 tiles) to be precise,
You would need a total of 36 tiles to cover that area.