AMC 10 Step by Step
2011 AMC 10BProblem 3P1-10~1 minPrint

At a store, when a length is reported as xx inches that means the length is at least x0.5x - 0.5 inches and at most x+0.5x + 0.5 inches. Suppose the dimensions of a rectangular tile are reported as 22 inches by 33 inches. In square inches, what is the minimum area for the rectangle?

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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.