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2006 AMC 10AProblem 17P16-20~4 minPrint
Quadrilaterals & Polygon AreasTriangles: Area & PythagoreanPlace the figure on coordinates and computeExploit symmetry to reduce work or pair up objects

In rectangle ADEHADEH , points BB and CC trisect AD‾\overline{AD} , and points GG and FF trisect HE‾\overline{HE} . In addition, AH=AC=2AH=AC=2 , and AD=3AD=3 . What is the area of quadrilateral WXYZWXYZ shown in the figure?

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.