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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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Square Areas

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

Kissing Triangles

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
Try drawing a diagram of the shape for yourself, making sure it's to scale. See if you can find the area of some parts of the shape first.

You may wish to use GeoGebra to investigate the shape further.