OPM 2025 Problem 4

Final day 2

Let $ABCD$ be a square with $2cm$ side length and with center $T$ . A rhombus $ARTE$ is drawn where point $E$ lies on line $DC$ . What is the area of $ARTE$ ?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2025 official paper, page 1.

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