Octagon divided into 6 parts
Geometry
Level
2
A father died and left his 6 sons an octagon field with 8 equal side lengths but different angles, as shown in the figure below.
The 6 sons want to divide the field up into 6 congruent parts, but do not care about the position or orientation.
Using only a ruler, can we divide the field into 6 identical parts?
Source: French Mathematical Olympiad 1988.
by
Mr X