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2024 AMC 12B Question 7

AMC12 · 2024 AMC 12B

Question 7

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

Question illustration
  1. $13$
  2. $14$
  3. $15$
  4. $16$
  5. $17$