Challenge Level

The seven pieces in this $12 \; \text{cm} \times 12 \; \text{cm}$ square make a Tangram set. What is the area of the shaded parallelogram?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

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