(1,0) and (0,n)
(2,0) and (0,n-1)
(3,0) and (0,n-2)
(n,0) and (0,1)
Within the picture formed there are n simple triangles, those without segments cutting through them.
Prove: these triangles all have the same area.
There are also n simple quadrilaterals, each sharing two sides with the triangles.
Prove: these quadrilaterals all have the same area.