AMC 10 Step by Step
2024 AMC 10BProblem 11P11-15~5 minPrint

In the figure below WXYZWXYZ is a rectangle with WX=4WX=4 and WZ=8WZ=8 . Point MM lies XY\overline{XY} , point AA lies on YZ\overline{YZ} , and WMA\angle WMA is a right angle. The areas of WXM\triangle WXM and WAZ\triangle WAZ are equal. What is the area of WMA\triangle WMA ?

figure

Note: On certain tests that took place in China, the problem asked for the area of MAY\triangle MAY .

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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 2024 12B #7.