Question

Delphine has to place 64 bottles of water on a banquet table. it must have a way to fill a rectangular. what are the possible arrangements?​

Answer 1

Answer:

Since $64= 2^6$, you have the following arrangements.

Optional: $64 \times 1$ (and it's mirror version $1 \times 64$, if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

$32 \times 2$ and it's mirror $2 \times 32$;

$16 \times 4$ and it's mirror $4 \times 16$;

Optional: $8 \times 8$. Since a square is a rectangle with extra limitations.