How many guards do you need for an art gallery with 22 vertices?

To determine the minimum number of guards needed for an art gallery with 22 vertices, we can apply the Art Gallery Theorem. According to this theorem, for a simple polygon with ( n ) vertices, at most ( \lfloor n/3 \rfloor ) guards are sufficient to cover the gallery. Therefore, for a gallery with 22 vertices, you would need at most ( \lfloor 22/3 \rfloor = 7 ) guards.