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.
40
20x20 = 400 2x4= 8 400/8= 50 needed
The principal diagonal of the room also requires its height.
The diagonal is 25 feet.
To find the area of a room, multiply the length times the width. 20 X 20 equals 400 sq ft.
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
Assuming the room is rectangular (as many rooms are - at least when described in floor plans), you can use the Pythagorean theorem to find the diagonal of the room - since it would be the hypotenuse of a triangle with base 15.25 feet and height 13.5 feet (decimals are easier to work with). So your diagonal is sqrt(15.252 + 13.52) = approximately 20.37 ft (20'4").
The only answer is the trivial answer: 22.5 square feet. The area does not determine thye dimensions of the room. 22.5 square feet could be a room that is circular with a radius of approx 2.68 feet or it could be a room that is 1 mile lonf and only 0.0043 feet = 0.051 inches wide. It could be narrower still!
Well it depends on how big you want it and how large the room is. :)
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.