Problem #441

Polygons ratio
Public 10/20/17 6xp Math 66.7%

ABCD is a parallelogram.

From each vertex, we join the middle of the 2 opposites sides
F is the middle of BC
E is the middle of CD
We draw the lines AF and AE

We draw thus 8 lines which define an octogon.

What is $ \frac{Area(Octogon)}{Area(Parallelogram)}$

Give your answer rounded to 10 digits after the decimal point

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