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problem
Pick's theorem
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.
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problem
Fence it
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
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problem
Warmsnug double glazing
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
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problem
Changing areas, changing perimeters
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?
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problem
Perimeter possibilities
I'm thinking of a rectangle with an area of 24. What could its perimeter be?
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problem
Can they be equal?
Can you find rectangles where the value of the area is the same as the value of the perimeter?