The term you are looking for is probably tessellation.
can you completely cover a 3ftx6ft area with 2ftx2ft tiles
Depends on how big the tiles are.
You would need a total of 89 tiles (88.88 tiles exactly) with those measurements to cover that area.
Usually, you divide by the area of a single tile. But this may not work if the tiles have an unusual shape, or if you need fractional tiles to cover the entire area.
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.
It depends on the size of the tiles and also, to some extent, on the shape of the area that you need to cover.
To cover a 22x22 floor with 1x1 tiles, you need to calculate the area of the floor. The area of the floor is 22 multiplied by 22, which equals 484 square units. Therefore, you will need 484 1x1 tiles to cover the entire floor.
The answer will depend on the shape of the area that you wish to cover. If it is circular, or irregular, you will need to cut or trim a lot of tiles and this will result in significant wastage. If the area is of ideal shape, you will require 173 tiles.
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,
20" = 2.78 square feet. Now divide the area of the tiles into the area of the room. 140/2.78 = 51 tiles