Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

I'm thinking of a rectangle with an area of 24. What could its perimeter be?