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MathNet 2024-part-03 — 168 problems (EN–VI) Question 162

Math Olympiad Vault · MathNet 2024-part-03 — 168 problems (EN–VI)

Question 162

A rectangle $ABCD$ has a circumscribed circle with radius $5$. Points $P$, $Q$, $R$ and $S$ are the midpoints of the sides of rectangle $ABCD$.
What is the perimeter of quadrilateral $PQRS$?

Question illustration

A) $12$ B) $14$ C) $8\sqrt{5}$ D) $20$ E) not uniquely determined