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2006 AMC 10BProblem 15P11-15~4 minPrint
Quadrilaterals & Polygon AreasAngles & PolygonsSimilar & Congruent TrianglesCut the figure into known shapes (triangles, rectangles, sectors)Exploit symmetry to reduce work or pair up objects

Rhombus ABCDABCD is similar to rhombus BFDEBFDE . The area of rhombus ABCDABCD is 2424 and ∠BAD=60∘\angle BAD = 60^\circ . What is the area of rhombus BFDEBFDE ?

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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.