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2023 AMC 10BProblem 24P21-25~7 minPrint
Coordinate GeometryQuadrilaterals & Polygon AreasTransformations & SymmetryTest small/specific values or special cases to find or verify the answerExploit symmetry to reduce work or pair up objects

What is the perimeter of the boundary of the region consisting of all points which can be expressed as (2u−3w,v+4w)(2u-3w, v+4w) with 0≤u≤10\le u\le1 , 0≤v≤1,0\le v\le1, and 0≤w≤10\le w\le1 ?

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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.