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## 'Geoboards' printed from http://nrich.maths.org/

Geraldine and Suzanne sent in their solutions
to this problem. They said:

We think there are five different squares which you can make on a 4
by 4 geoboard. Here is a picture of three of
them:

Here is a picture of the other two which only have pegs at their
corners, not along their sides:

The pink square in the second picture has an area of
two square units. We don't think you can make a square
with an area of three square units as the next size up square we
have has sides of 2 which means its area is 4 square units (too
big).