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2003 AMC 10B Problem 20

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2003 AMC 10B Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Similar & Congruent Triangles · difficulty 3 of 5 · about 3 min · position P16-20

In rectangle ABCD,AB=5ABCD, AB=5 and BC=3BC=3 . Points FF and GG are on CD‾\overline{CD} so that DF=1DF=1 and GC=2GC=2 . Lines AFAF and BGBG intersect at EE . Find the area of △AEB\triangle AEB .
figure

  1. A)

    1010

  2. B)

    212\frac{21}{2}

  3. C)

    1212

  4. D)

    252\frac{25}{2}

  5. E)

    1515

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