When I saw this puzzle by Curmudgeon, I was seriously intrigued.

The circles have radius 1, and the seven lettered regions are of equal area. The question is, what is the area of the pentagon?

After doing some algebra, I figured out that the area of the regions had to be , but the problem is figuring out the height of the pentagon. Not knowing what else to do, I set it up in Geometer’s Sketchpad. I’m trying to get used to using Geogebra, but I figured I would work it out first in Sketchpad. I’ll put my solution after the “more” in case you want to work it out for yourself.

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