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MathNet 2014 Question 34

Math Olympiad Vault · MathNet 2014

Question 34

In the octagon $COMPUTER$ exhibited below, all interior angles are either $90^{\circ}$ or $270^{\circ}$ and we have $CO = OM = MP = PU = UT = TE = 1$.

Question illustration

Point $D$ (not to scale in the diagram) is selected on segment $RE$ so that polygons $COMPUTED$ and $CDR$ have the same area. Find $DR$.