• From: James Pallett
  • Date: 12 March 1999
  • Subject: Area of a Pentagon

I am wondering how to find the area of a Regular Pentagon. I need to be able to do this for my GCSE coursework on areas of shapes with fixed perimeters.

Maths Help suggests:

When finding areas, we suggest you break your shape into 'easy' shapes:

Diagram of Regular Pentagon


Suppose the pentagon has each side of length 10 cm.
In this case, you can split the regular pentagon into 5 identical triangles.
The area of the pentagon is five times the area of one triangle:

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