Area and Perimeter

Photo taken at the Alhambra Palace, Spain


Using the design below, identify as many different shapes as possible and for each shape find the area and perimeter. The design is drawn on cm squared paper - how long is each diagonal? Can this length be approximated for ease of use by younger pupils?

Record results systematically in a table:

Try this activity using different grids based on Islamic designs.


Extending this idea:

A rectangle has area 24 square cm. What perimeter might it have?

What if its edges are not a whole number of cm?

What is the smallest possible perimeter? What is the largest possible perimeter?


A rectangle has perimeter 20 cm. What could its area be?


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