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2002 AMC 10AProblem 25P21-25~6 minPrint
Quadrilaterals & Polygon AreasTriangles: Area & PythagoreanAdd construction lines/points (drop altitudes, extend segments, connect centers)Cut the figure into known shapes (triangles, rectangles, sectors)

In trapezoid ABCDABCD with bases ABAB and CDCD , we have AB=52AB = 52 , BC=12BC = 12 , CD=39CD = 39 , and DA=5DA = 5 . The area of ABCDABCD is

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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.