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# Square Bisection

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### Square Areas

### 2001 Spatial Oddity

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Age 11 to 14

ShortChallenge Level

- Problem
- Solutions

In how many ways can a square be cut in half using a single straight line cut?

If you liked this problem, here is an NRICH task which 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.

Can you work out the area of the inner square and give an explanation of how you did it?

With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.