OpenGL — calculate area in 3D plane?

I have (another) OpenGL question. If you don’t know the answer to this question perhaps you can recommend a resource (website, book, other)?

Is it possible to calculate the area of intersection between a 3D polygon object and an arbitrary 3D Plane?

If you decompise the object into tetrahedrons, you could find the intersection of the tetrahedron with the plane my finding the intersetion if each of its edges with the plane