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MathNet 2012 Question 30

Math Olympiad Vault · MathNet 2012

Question 30

Ana drew two distinct hexagons, $ABCDEF$ and $PQRSTU$, each with all internal angles measuring $120^\circ$.

a. Given that $AB = CD = 5$, $BC = 8$ and $EF = 3$, find the perimeter of $ABCDEF$.

b. Given that $PQ = 3$, $QR = 4$, $RS = 5$ and $TU = 1$, find $ST + PU$.