2023 AMC 10 A

Complete problem set with solutions and individual problem pages

Problem 17 Easy

Let ABCD be a rectangle with A B = 30 and B C = 2 8. Points P and O lie on BC and CD respectively, so that all sides of \triangle ABP, \triangle PCQ, and \triangle QDA have integer lengths. What is the perimeter of \triangle APQ?

  • A.

    84

  • B.

    86

  • C.

    88

  • D.

    90

  • E.

    92

Answer:C
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