AMC 10 Step by Step
2023 AMC 10AProblem 4P1-10~2 minPrint

A quadrilateral has all integer side lengths, a perimeter of 2626 , and one side of length 44 . What is the greatest possible length of one side of this quadrilateral?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.