If the area is "well behaved" or if most offcuts are used then 77 tiles will suffice. However, if the area is not rectangular then you are likely to require more. Also, unless the length or width of the rectangular area is an exact multiple of 19.5 inches, there will be many off-cuts.
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It takes 4 6x6 inch tiles to cover a square foot. You will need 180 tiles, plus some for spoilage and mistakes.
You would need 138 tiles to cover 115 square feet with 12-inch tiles. To calculate this, divide the total square footage (115) by the area of one tile (1 square foot for a 12-inch tile). So, 115 (sq ft) / 1 (sq ft per tile) = 115 tiles.
About 197 (196.875) 16" x 16" tiles will feet in that area.
A 12 by 12 inch tile is one square foot. That means it will take 650 tiles, plus spoilage and trim.
You will need approximately 23.4 tiles, so 24 tiles. Assuming 13x13 tiles is in inches.