Problem
Problem of the Day #82
POTD February 29, 2024
ABCD is a parallelogram satisfying AB = 7, BC = 2, and \angle DAB = 120^\circ{}. Parallelogram ECFA is contained in ABCD and is similar to it. If the ratio of the area of ECFA to the area of ABCD can be written as a fraction \frac{m}{n}, where m,n are relatively prime positive integers, find m+n.
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