So each tile is 12" by 12" square, right?
So each tile is ONE square foot? (a perfect square that's a foot long and a foot wide).
Each tile is one square foot and you need to know how many add up to 400 square feet.
I think the answer is the square root of Pi.
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One 12' x 12' cover will cover 144 square feet, so just one but you might have to cut it.
One tile of size 13' by 13' will cover 169 square feet and so will be more than sufficient.
one 12 x 12 tile is one sq ft you need 480/1 = 480 tiles
If that is 60" tiles it would take 16 total.
1 sq foot = 144 sq inch tile area is 14 x 14 sq inch answer = 32 x 144 / (14 x 14) tiles