Question

Can you completely over a 4 ft by 8 ft area with 3 ft by 3 ft tiles?

Answer 1

Yes, but not without cutting some of the tiles into smaller pieces.

The length of the area is 8-ft.  That's (2 and 2/3) tiles long.

The width of the area is 4-ft.  That's (1 and 1/3) tiles wide.

So you can't just put down rows and columns of whole tiles
and cover the whole area.
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Another way to look at it:

-- The area of the whole big plot is  (8 x 4) = 32 square feet.

-- Each tile covers (3 x 3) = 9 square feet.

-- You can't cover 32 square feet with 9-square-feet pieces.
Either you have to cut something off, or else you have to let
something hang outside of the lines.