Can you help me devide a square into seven equal parts? Each having the same amount of perimeter and the same area? It seems like everything I do I just end up with 8 peices. Is this not possible? And if it isn't possible how do I prove that it's not possible?
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.