Area and perimeter

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



What can you say about these two shapes?

Image
Area and perimeter
 
What is the area of each one? What is the perimeter of each one?



What can you say about the shapes below?

Image
Area and perimeter
 
You can print out a set of shapes and cut them into separate cards. These cards have the coloured background.



Can you draw a shape in which the area is numerically equal to its perimeter? And another?

Can you draw a shape in which the perimeter is numerically twice the area?

Can you draw a shape in which the area is numerically twice the perimeter?

Can you make the area of your shape go up but the perimeter go down?

Can you make the perimeter of your shape go up but the area go down? 

 

Can you draw some shapes that have the same area but different perimeters?

Can you draw some shapes that have the same perimeter but different areas?