Hi,
I am trying to find a simple way to measure the contact area highlighted in red in the attached image.
SolidWorks is capable of highlighting the contacting geometry so there must be a way to interrogate that highlighted area and determine the area.
Probably the easiest way would be to apply a split line on one of the plates to divide the surface so that you have a separate surface that represents the contacting surface.
After this you could then use the measure tool, click on the surface and it should show you the area of the selected surface.