Get area of rotated polygon knowing all coordinates and angle.

Is there a way to get the real surface area of a polygon by knowing the projected x and y values, as well as the angle of rotation relative to the horizontal.

Please see my diagram below.

The red points are the position on the (X,Y).

I have the angle as well, so now I need the actual surface area.

Any assistance will be appreciated!

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Erdos Erdos
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