Question 46
(NET 1) The vertices of an $(n+1)$-gon are placed on the edges of a regular $n$-gon so that the perimeter of the $n$-gon is divided into equal parts. How does one choose these $n+1$ points in order to obtain the $(n+1)$-gon with
(a) maximal area;
(b) minimal area?
(a) maximal area;
(b) minimal area?