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2004 AMC 10A Problem 20

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2004 AMC 10A Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 4 of 5 · about 6 min · position P16-20

Points EE and FF are located on square ABCDABCD so that △BEF\triangle BEF is equilateral. What is the ratio of the area of △DEF\triangle DEF to that of △ABE\triangle ABE ?

figure

  1. A)

    43\frac{4}{3}

  2. B)

    32\frac{3}{2}

  3. C)

    3\sqrt{3}

  4. D)

    22

  5. E)

    1+31+\sqrt{3}

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