9 shapes
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You can make 12 different shapes (counting flips) with 5 squares set orthogonally (not diagonally). These are called pentominos.
With no repetition of shapes (symmetry) we have obtained 26 different combinations.
The answer depends on the 5 shapes. Unfortunately, you have not specified what they are and so the question cannot be answered. - which
A pentagon is a 5 sided polygon.
5 blocks