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just looking at it, it seems as if the area will go from 1/2 to 1/4
of the area, as the slanted line sweeps from the upper left corner
to the upper right corner.
That's a good way to check the general answer, as it must work in the
corners and at the midpoint.
When I first saw the problem, it said that the outer box was a square
I had to draw a lot of pictures and go down a few different paths,Yeah. It's important to be honest about that.
before the solution became apparent.