Surface made up of specific areas

Hello all,
I’ve partially mentioned this problem before as a piece of another. I’m trying to create a connected set of breps whose area correspond to the magnitude of a force vector that is acting perpendicular to each associated brep.
Below is an illustration of what I’m trying to create:

For my pupose, I only need to generate the top layer of these connected breps, whose areas are equal to the magnitude of a force vector and whose planar faces are perpendicular to the associated force vector.
This might be a better example:
I’m trying to get a sense of how to do this, but also if it is possible. I’m re-posting because I think I wasn’t clear or descriptive enough before.