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TR-MO-R1 2022 Problem 21

    Bir ABCDABCD dikdörtgeninde [BC][BC] kenarının orta noktası MM olsun. [AC][AC] köşegeni üzerinde bir EE noktası, [AE][AE] üzerinde ise bir FF noktası alınıyor. s(DEC^)=s(DFM^)=90∘s(\widehat{DEC}) = s(\widehat{DFM}) = 90^\circ, ∣AF∣=4|AF| = 4 ve ∣EC∣=18|EC| = 18 olduğuna göre ABCDABCD dikdörtgeninin alanı nedir?

    a) 156 b) 192 c) 250 d) 312 e) 390

    Official text Turkish Mathematical Olympiad, first round 2022 official paper, page 13. Quoted with source.

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