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Overlapping Ribbons

Age 14 to 16 Short Challenge Level:

Two strips of ribbon, each of width 4 cm, are laid across each other at an angle of 30$^{\text{o}}$, as shown in the diagram.

 

Find the exact area of the overlap.


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