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2022 AMC 10AProblem 5P1-10~3 minPrint
Triangles: Area & PythagoreanQuadrilaterals & Polygon AreasSet up the equation/formula and compute; no special trick neededExploit symmetry to reduce work or pair up objects

Square ABCDABCD has side length 11 . Points PP , QQ , RR , and SS each lie on a side of ABCDABCD such that APQCRSAPQCRS is an equilateral convex hexagon with side length ss . What is ss ?

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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.