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AIME 2024 / AIME 2024 train edfd00ea-b593-5fbb-a903-f2b12a14b032

Problem

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Problem

Find the number of rectangles that can be formed inside a fixed regular dodecagon (12-gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. The diagram below shows three of those rectangles.

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Source and history

task_id: edfd00ea-b593-5fbb-a903-f2b12a14b032
task_key: default--train--edfd00ea-b593-5fbb-a903-f2b12a14b032
task_revision_id: 2
config / split: default / train

Official source

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