Let A B C D E F be a hexagon all of whose sides are equal in length and all of whose angles are equal. The area of hexagon A B C D E F is exactly r times the area of triangle A C D. Determine the value of r.
Let A B C D E F be a hexagon all of whose sides are equal in length and all of whose angles are equal. The area of hexagon A B C D E F is exactly r times the area of triangle A C D. Determine the value of r.