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Omni-MATH / Let ABCDE be a convex pentagon such that AB=AE=CD=1 , ∠ABC=∠DEA=90^(∘) and BC+DE=1 . Compute the area of the pentagon.

Problem

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problem

Let

ABCDE

be a convex pentagon such that

AB=AE=CD=1

\angle ABC=\angle DEA=90^\circ

and

BC+DE=1

. Compute the area of the pentagon.

Plain-text mathematical notation (without MathML)

Let ABCDE be a convex pentagon such that AB=AE=CD=1 , ∠ABC=∠DEA=90^(∘) and BC+DE=1 . Compute the area of the pentagon.

Original LaTeX notation

Let $ABCDE$ be a convex pentagon such that $AB=AE=CD=1$ , $\angle ABC=\angle DEA=90^\circ$ and $BC+DE=1$ . Compute the area of the pentagon.

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task_id: 4e7d7cee-0dfd-5e3c-b182-6b3d012f1401
task_key: test--4e7d7cee-0dfd-5e3c-b182-6b3d012f1401
task_revision_id: 3
config / split: / test

Official source

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