Question 3
Let $ABCDEF$ and $AGHIJK$ be two regular hexagons that do not overlap, as shown in the diagram below. Assume that $\angle FAK=90^\circ$ and that the areas satisfy $3\times[AGHIJK]=4\times[ABCDEF]$. What is the ratio of $[ABG]:[AGHIJK]$?
(Note: $[P]$ denotes the area of polygon $P$.)
(Note: $[P]$ denotes the area of polygon $P$.)