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Pick's Theorem Poster

Age 11 to 14
Challenge Level
The formula linking $p, i $ and $A$ is $A = \frac12p + i - 1$
Trying out different shapes, you can find a pattern:
$p$ increase by $1$ $\Rightarrow A$ increase by $\frac12$ (down table)
$i$ increase by $1$ $\Rightarrow A$ increase by $1$ (across table)
So $A = \frac12p + i - 1$