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Ratio Cut

Age 14 to 16 Short Challenge Level:


A rectangle is cut into two pieces by a single line drawn from a corner, as shown.



The ratio between the areas of the two pieces is 1 : 2

What is the ratio $a$ : $b$ ?


This problem is taken from 1000 Problems to Enjoy
You can find more short problems, arranged by curriculum topic, in our short problems collection.