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2025 AMC 10A Question 15

AMC10 · 2025 AMC 10A

Question 15

In the figure below, $ABEF$ is a rectangle, $AD \perp DE,$ $AF = 7,$ $AB = 1,$ and $AD = 5.$ What is the area of $\triangle ABC?$

Question illustration
  1. $\dfrac{3}{8}$
  2. $\dfrac{4}{9}$
  3. $\dfrac{1}{8}\sqrt{13}$
  4. $\dfrac{7}{15}$
  5. $\dfrac{1}{8}\sqrt{15}$