Question is very understandable. We have 6 of the same-sized squares. By putting/using them together, how many squares can we get at max?
For instance; if we would have 2 same-sized squares, we could get 3 squares by putting them from middle and corner. 2 from our original squares and 1 from intersection.
Here is a diagram that gets $41$. I don't know if it is maximal
For $n$ initial squares, the number in this pattern is $3n-3$ plus twice A002623(n-2) except for $n=1$ it is $1$, not $0$. The twice A002623 accounts for the two stairsteps on the sides, and the $3n-3$ gets the main diagonal. This gives the sequence for number of squares in this pattern as $1,3,8,15,26,41,62,89,124,167$. This is not in OEIS