If you take the edge length of the equilateral triangles in this picture as the unit for length, what would be the exact size of the hole ?

Alternatively, if the area of an equilateral triangles is taken as the unit for area, what size is the hole?

Click here for Notes for Teachers.

This activity is adapted from the NRICH task Square Hole with permission of the University of Cambridge. All rights reserved. Also see some related problems on NRICH.

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