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## 'Pick's Theorem' printed from http://nrich.maths.org/

* How many different figures can be described as $(4, 0)$?

* What do you notice about $(4,0)$ figures?

* Choose another particular value for $(p,i)$ and explore
different shapes.

* Have you tried drawing shapes with the same area?

* What do you notice about those figures whose areas are the
same?

* What ways are there of increasing the area by $1$ unit?

* Draw more figures; tabulate the information about their
perimeter points ($p$), interior points ($i$) and their areas
($A$).