Area of each tile = 20*20 = 400 sq inches.
Area of room = 185*123 = 22755 sq inches.
So minimum number of tile required = Roundup(22755/400) = 57.
However, this number assumes that all offcuts are used and that there are no breakages. In real life neither assumption is realistic.
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If you had absolutely no waste you would need 864 tiles. Since tile as large as 20" x 20" generally have a large amount of waste, make sure you add 10% into this number. With that you would need 950 tiles to complete your job.
1070 square feet is 154080 square inches. (1 square foot is 12x12 or 144 square inches.)a 20x20 inch tile is 400 square inches.So the question could be restated as "how many 400 square inch tiles does it take to cover 154080 square inches?"154080 / 400 = 385.2
5,184 2-square-inch tiles are needed.
400 6" x 6" tiles are needed.
128.2 tiles