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2008 AMC 10AProblem 20P16-20~5 minPrint
Similar & Congruent TrianglesQuadrilaterals & Polygon AreasCut the figure into known shapes (triangles, rectangles, sectors)

Trapezoid ABCDABCD has bases AB‾\overline{AB} and CD‾\overline{CD} and diagonals intersecting at KK . Suppose that AB=9AB = 9 , DC=12DC = 12 , and the area of △AKD\triangle AKD is 2424 . What is the area of trapezoid ABCDABCD ?

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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.