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20 x 20 = 400 The room has 400 square feet on the floor, 400 square feet on the ceiling, and (80 x height of the room) square feet on the walls.
20" = 2.78 square feet. Now divide the area of the tiles into the area of the room. 140/2.78 = 51 tiles
Using Pythagoras: 10 times square root of 2 feet
Using the Pythagorean theorum, the fly must walk in a diagonal line to the top corner of the room (this would be .608 feet, or 7.296 inches). Then he must walk from that top corner of the room in a diagonal line down the 30 foot wall (this will be 32.311 feet, or 387.7819 inches), then he must walk a diagonal line from the bottom corner of the room to the food (this is also .608 feet/7.296 inches). Then we add all our measurements together to get 402.324 inches, or 33.527 feet.
First we need to calculate the square footage of the room. 15*20 = 300 square feet Now we need to know how many square feet each tile covers. 20" = 1.667~ square feet 1.6672 = 2.78 square feet. Now we divide the area of the tiles into the area of the room. 300/2.78 = 108 tiles. This gives the exact number of tiles you need mathematically. Realistically you need to account for cutting and breaking. It's safe to round that up to 120 tiles.