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Age 11 to 14 Short
Challenge Level
The diagonal of a unit square is used as one of the sides of a new square.
What is the area of this new square?


(A unit square is a square whose sides all have length 1 unit, and so its area is 1 square unit)


This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.