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2003 AMC 10BProblem 23P21-25~4 minPrint
Quadrilaterals & Polygon AreasAngles & PolygonsAdd construction lines/points (drop altitudes, extend segments, connect centers)Cut the figure into known shapes (triangles, rectangles, sectors)Exploit symmetry to reduce work or pair up objects

A regular octagon ABCDEFGHABCDEFGH has an area of one square unit. What is the area of the rectangle ABEFABEF ?

figure

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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. Also appeared as 2003 12B #15.