All about Area and Perimeter

All about Area and Perimeter

Understanding how areas and perimeters change as we change a shape is important not just mathematically but also in solving many real-life problems. This collection of rich tasks is intended to help you to develop these useful insights into area and perimeter.

Perimeter Possibilities 

Age 11 to 14 Challenge Level:
I'm thinking of a rectangle with an area of 24. What could its perimeter be?

Changing Areas, Changing Perimeters 

Age 11 to 14 Challenge Level:
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?

Fence It 

Age 11 to 14 Challenge Level:
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

Isosceles Triangles 

Age 11 to 14 Challenge Level:
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

Curvy Areas 

Age 14 to 16 Challenge Level:
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?