Parallelogram Riddle II

Geometry Level 3

As shown above, a parallelogram ABCDABCD is partitioned by two lines AFAF and BEBE, such that the areas of the red ABG=27\triangle ABG = 27 and the blue EFG=12\triangle EFG = 12.

What is the area of the yellow region?

Note: Figure not drawn to scale.

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