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Weekly Problem 37 - 2007

Stage: 3 and 4 Challenge Level: Challenge Level:1

This regular hexagon has been divided into four trapezia and one hexagon. If each of the five sections has the same perimeter, what is the ratio of the lengths $p$, $q$ and $r$? Hexagon and trapezia

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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