IOM 2017, Блиц — Задача 17

OLYMPIAD OF METROPOLISES. Moscow, September 4 · 4 септември 2017 г.

Условие

At the extensions of the sides $AB$, $BC$, $CD$, $DA$ of a convex quadrilateral $ABCD$ beyond the points $B$, $C$, $D$, $A$ respectively points $M$, $N$, $P$, $Q$ are marked such that $BM = AB$, $CN = 2BC$, $DP = CD$, $AQ = 2AD$. Find the area of the quadrilateral $MNPQ$ given that the area of $ABCD$ is 4.

Отговори

Решение

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Оригинал в Архива: blitz.pdf · официални решения: answers-blitz.pdf