IKMC 2027 - Grades 11-12 - Self-study SET 1 - Thematic Batch 3 Question 19

In isosceles triangle ABC, points D, E, F lie on BC, CA, AB and divide those sides in the ratio 1:2 as shown. M and N are respectively the intersections of AD with CF and BE. The area ratio FMNB: ABC is a/b in lowest terms. What is a×b?