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MathNet 2026 — Part 04 Question 165

Math Olympiad Vault · MathNet 2026 — Part 04

Question 165

In the quadrilateral $ABCD$ the following holds:
$$
\angle ABC = \angle ADC = 90^\circ, \quad |AB| = |BC|, \quad |CD| + |DA| = m.
$$
Determine the area of $ABCD$ in terms of $m$.