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2025 AMC 10A Problem 15

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2025 AMC 10A Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Similar & Congruent Triangles · difficulty 4 of 5 · about 7 min · position P11-15

In the figure below, ABEFABEF is a rectangle, AD‾⊥DE‾\overline{AD}\perp\overline{DE} , AF=7AF=7 , AB=1AB=1 , and AD=5AD=5 . What is the area of △ABC\triangle ABC ?

figure

  1. A)

    38\frac{3}{8}

  2. B)

    49\frac{4}{9}

  3. C)

    1813\frac{1}{8}\sqrt{13}

  4. D)

    715\frac{7}{15}

  5. E)

    1815\frac{1}{8}\sqrt{15}

Working