Tilted Squares

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This is an investigation on tilted squares. The aim is to be able to predict the area of any tilted square.

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What areas are possible?
What areas are impossible?
Why?

Is there a connection between the "tilt" and the area of a square?

What observations, thoughts and conclusions can you offer?
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Published September 2004.