This can vary. A polygon can have different sides because there are different types. For example, a decagon has 10 ten sides.
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No, it does not. You can have a large triangle and a tiny quadrilateral. The first has fewer sides but its perimeter can be much much larger.
A polygon with 6 sides is a hexagon and a polygon with 8 sides is an octagon
No the sides of a polygon can not cross
There is no formula for how many sides there are in a polygon; the name of the polygon shows how many sides it has.