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X=Y=Z
Hexa-split
Age 11 to 14
ShortChallenge Level 
X=Y=Z
The shaded area in Y is clearly half the area of the hexagon and the diagram below demonstrates why the shaded areas in X and Z are also both equal to half the area of the hexagon
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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