PQRSTU is a regular hexagon
A,B,C,D,E and F are the respective midpoints of sides PQ, QR, RS, ST, TU and UP.
PB, QC, RD, SE, TF and UA bound a smaller regular hexagon.
The ratio of the area of the smaller hexagon to the area of PQRSTU is equal to x/y, where x and y are relatively prime positive integers.

Determine x and y

Do the same thing with a regular n-gon.

Posted by Jer on 2016-02-12 09:16:19