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2011 AMC 10AProblem 9P1-10~2 minPrint
Coordinate GeometryQuadrilaterals & Polygon AreasSet up the equation/formula and compute; no special trick neededTest small/specific values or special cases to find or verify the answer

A rectangular region is bounded by the graphs of the equations y=a,y=−b,x=−c,y=a, y=-b, x=-c, and x=dx=d , where a,b,c,a,b,c, and dd are all positive numbers. Which of the following represents the area of this region?

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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.