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Manifold 8 or Manifold 9. One way is to use a side-effect of the Normalize Topology transform, since it removes overlaps between areas. That is destructive, so apply the transform to a duplicate of the drawing. Then you can simply sum the remaining area values (perhaps using a ViewBot if it is Manifold 8, otherwise SQL). Even simpler: again create a duplicate of the drawing, then apply the Union transform. This gives you a single area, with overlaps resolved, and a single area value for the whole canopy.
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