IKMC 2027 - Grades 11-12 - Self-study SET 6 - Thematic Batch 3 Question 12

In parallelogram ABCD, E lies on AD and F on BC with ED =AD/3 and FC =BC/3. EF meets BD at J and AC at K. Triangle IJK has area 1, where the diagram defines I =AC∩BD. What is the parallelogram’s area?