# Dividing the pentagon

It is easy to divide an equilateral triangle into three equal, though not equilateral, triangles.

It is even simpler to divide a square into four equal squares.

The difficult part is, whether you can divide a regular pentagon into five equal pentagons?

Note:

Equal means, equal in area.

• can we have 1 extra pentagon in the end or the question is about exactly 5? – manshu Feb 24 '16 at 19:21
• If all are equal in terms of area, then I'm ok with it :-) – ABcDexter Feb 24 '16 at 19:24

• @manshu because all of the areas are symmetrical - if all the red lines are drawn in the exact same way and are simply $72\unicode{xb0}$ rotations of each other – Paul Evans Feb 24 '16 at 19:42