AMC 10 Step by Step
2015 AMC 10AProblem 24P21-25~6 minPrint

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?

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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.