MathNet 2026 — Part 07 Question 121

In rectangle $ABCD$, $E$ and $F$ are chosen on $\overline{AB}$ and $\overline{CD}$, respectively, so that $AEFD$ is a square. If $\frac{AB}{BE} = \frac{BE}{BC}$, determine the value of $\frac{AB}{BC}$.