first give the unit of tiles dimensions as 16 inch or meter or feet or what, if it is not in feet as is look from above question then change the dimension in feet then multiply the length and breadth of the side of tiles (after changing the unit in feet) and then divide 100 by the outcome of multiplication of lenght and breadth of tile.
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100 tiles or 96 which is the correct amount
180
113 tiles
100 + 10-15% = 110 - 115 pcs
13 x 13 (assumed inches) is 13/12 feet x 13/12 feet, so the area of one tile is 169/144 square feet. To cover 100 square feet you need (100)/(169/144) tiles which works out to (100 x 144)/169 = 14400/169 = 85.2, make it 86 tiles