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A parallelogram is basically a rectangle but slanting.
It could be a square, rectangle or a parellelogram.
as far as I know a polygon is anything with more than 3 sides. So technically yes.
A parrellelogram is just a rectangle tilted. If you were to push the ends up straight, you would have a rectangle. So all you do is multiply the base times the height. It's that simple!
That is true for some parallelograms but not all. For example, the diagonals of a rhombus, kite or square are perpendicular, but those of a rectangle or general parallelogram are not.