# Midpoint? What About Thirds? - Part 3

Geometry Level 4

As usual, $$ABCD$$ is a square, and we divide each side​ into three equal parts, and mark the points $$E,F,G,H,I,J,K,L$$ in a clockwise manner starting from the vertex $$D$$. This time, we connect those points to the furthest vertex that is opposite to them to form a not-necessarily-regular octagon as shown in the figure above, for example, points $$B$$ and $$E$$ will be connected in this case. What is the ratio of the area of the square to that of the octagon?

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