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2015 AMC 10A Problem 24

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2015 AMC 10A Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 4 of 5 · about 6 min · position P21-25

For some positive integers pp , there is a quadrilateral ABCDABCD with positive integer side lengths, perimeter pp , right angles at BB and CC , AB=2AB=2 , and CD=ADCD=AD . How many different values of p<2015p<2015 are possible?

  1. A)

    3030

  2. B)

    3131

  3. C)

    6161

  4. D)

    6262

  5. E)

    6363

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