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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

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Q: How many 13x13 tiles does it take to cover 100 square feet?
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