Q: How many rectangular arrays can be formed with 24 tiles?

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It's a prime number. Therefore the only rectangular array it has is 1*73 (or 73*1)

The answer depends on how many letter tiles you have and which letters are on those tiles.

3/10 of a tile

5 rectangular shapes. But 9 if, for example, a 3*12 rectangle is considered as being different from a 12*3 rectangle.

2880 exactly, but if this is ceramic tiles you have to account for grout lines. extras would be recommended

Related questions

Four

It depends on the tiles. None if they are all hexagonal tiles!

As many as there are different rectangles.

It's a prime number. Therefore the only rectangular array it has is 1*73 (or 73*1)

6

The answer depends on how many letter tiles you have and which letters are on those tiles.

3/10 of a tile

Assuming that the arrays need to be rectangular, the answer is 14,597,412,049,059,800,000 or approx 15 quintillion.

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.

2 prisms

5 rectangular shapes. But 9 if, for example, a 3*12 rectangle is considered as being different from a 12*3 rectangle.

2880 exactly, but if this is ceramic tiles you have to account for grout lines. extras would be recommended