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Oki... after scrambling through my 27 year old head that has done far too many drugs since junior high... I started to remember a little bit of Gee-I'm-A-Tree I took the slope of each small triangle.
green triangle:
slope=m=(2/5)=0.400; volume=V=0.5*2*5=5
red triangle:
slope=m=(3/8)=0.375; volume=V=0.5*3*8=12
yellow L:
volume=V=7
green L:
volume=V=8
Total Volume=32
So it is true that the top shape is concave and the bottom shape is convex and that the shapes are not trangles at all (I just assumed)
Solving for the volume of the assumed "triangle" would give:
volume=V=0.5*5*13=32.5
That only gives 0.5 space for the extra square, so where does the other 0.5 come from?
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