I just did the polygons 2 topic based quant quiz and came across this question. I got it right, but solved it a different way than in the video. Since both of the octagons are regular, I know that they can be divided into 8 equal triangles, and that 1/8 equals 12.5%. Since the polygons share the same center, I knew that the triangle that would go from GF to the center would be 12.5% of the larger octagon’s area, but, the quadrilateral that is formed with the smaller octagon basically cuts off the top of that triangle, making it so it will be less than that 12.5%. Is this an instance of me finding the right answer in a wrong way and getting lucky, or is this a principle that I can apply moving forward?
Yes, that’s correct