Area and Perimeter

Stage: 2 Challenge Level: Challenge Level:1

What can you say about these two shapes?

2 shapes
 
What is the area of each one? What is the perimeter of each one?

What can you say about the shapes below?

8 shapes
 
You can print out a set of the 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?  
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
Copyright © 1997 - 2012. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.