
Start with an “A” rectangle.
Fold up corner to opposite corner.
Crease flat
Fold the irregular pentagon in half
Crease and open

Now fold in each of the sides so they lie on the crease line
The pentagon you have made is almost regular. Check to
see if the sides and angles are equal by folding. You will find that they are
very close to being equal. The Pentagon you have made is perfectly good
enough for several maths activities including finding if pentagons
tessellate.

Reference Gibbs,William PRIME Vol 4 1982