Originally Posted by

**earboth** Good morning,

here are the steps I took:

1. I divided the perimeter of the square into 7 equal distances.

2. I played with some geometric shapes (rectangle, triangle, ...)

3. I noticed that a triangle would fit best if I take the center of the square as common vertex.

4. Only the quadrilateral shapes bothered a me a lot until I noticed that I can divide them into 2 triangles and that they actually have the same area as the simple triangles too.

Or, to quote topsquark: I was hit by a particle of inspiration.