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*

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)

You can find more short problems, arranged by curriculum topic, in our short problems collection.