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Assuming 18x18 refers to 18inch*18inch and not some other measure,

each tile is 1.5'*1.5' = 2.25 sq ft

So number of tiles required = 150/2.25 = 66.66... ie 67 tiles.

That is the mathematical answer. However, this assumes that the 150 sq ft area is a "well behaved" shape and that there are few awkward curves and corners around which the tiles have to be fitted. In real life it is sensible to allow for 10% wastage.

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Q: How many 18X18 tile will you need for 150 sf?
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