There are loads of similar questions like this on here. The way to work it out is...
Multiply the area to be covered by 144 (the number of square inches in a square foot) then divide that figure by the size of the tile (in square inches) In this case it's...
(171x144) divided by (13x13)
Go on - there's the sum - you can do it !
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247.1
You will need 25, 13x13 tiles.
You would need 358 tiles.
426 of them. Get 470 to be safe.
the dimensions of one tile is 13x13 inches or 1.083x1.083 feet. Therefore area of one tile is 1.1736 square feet and that of 196 tiles is 196x1.1736=230.027