21.5 square yards, or almost a 14' x 14' room
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To cover 345 square feet with 16x16 tiles , you need at least 195 tiles (194 and 1/16 exactly). 345 square feet x 144 square inches/sq ft = 49680 square inches 16 x 16 = 256 square inches per tile 49680 / 256 = 194.0625 It could take more because you may have to use large fractional tiles on edges, and some may break.
It is √2*√97.
16.16'
0.04 miles.
194