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2023 AMC 10BProblem 13P11-15~4 minPrint
Absolute Value & InequalitiesCoordinate GeometryQuadrilaterals & Polygon AreasCut the figure into known shapes (triangles, rectangles, sectors)Exploit symmetry to reduce work or pair up objects

What is the area of the region in the coordinate plane defined by

∣∣x∣−1∣+∣∣y∣−1∣≤1?| | x | - 1 | + | | y | - 1 | \le 1?

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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.