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Omni-MATH / In the octagon COMPUTER exhibited below, all interior angles are either…

Problem

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problem

In the octagon COMPUTER exhibited below, all interior angles are either 90∘90^{\circ} or 270∘270^{\circ} and we have CO=OM=MP=PU=UT=TE=1C O=O M=M P=P U=U T=T E=1. Point DD (not to scale in the diagram) is selected on segment RER E so that polygons COMPUTED and CDRC D R have the same area. Find DRD R.
Plain-text mathematical notation (without MathML)
In the octagon COMPUTER exhibited below, all interior angles are either 90^(∘) or 270^(∘) and we have CO=OM=MP=PU=UT=TE=1. 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.
Original LaTeX notation
In the octagon COMPUTER exhibited below, all interior angles are either $90^{\circ}$ or $270^{\circ}$ and we have $C O=O M=M P=P U=U T=T E=1$. Point $D$ (not to scale in the diagram) is selected on segment $R E$ so that polygons COMPUTED and $C D R$ have the same area. Find $D R$.

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Source and history

task_id
21c31416-c775-588a-b54b-88cd19550684
task_key
test--21c31416-c775-588a-b54b-88cd19550684
task_revision_id
1
config / split
/ test

Official source

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