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2003 AMC 8 Question 25

AMC8 · 2003 AMC 8

Question 25

In the figure, the area of square $WXYZ$ is $25 \text{ cm}^2.$ The four smaller squares have sides $1$ cm long, either parallel to or coinciding with the sides of the large square. In $\triangle ABC,$ $AB = AC,$ and when $\triangle ABC$ is folded over side $\overline{BC},$ point $A$ coincides with $O,$ the center of square $WXYZ.$ What is the area of $\triangle ABC,$ in square centimeters?

Question illustration
  1. $\dfrac{15}{4}$
  2. $\dfrac{21}{4}$
  3. $\dfrac{27}{4}$
  4. $\dfrac{21}{2}$
  5. $\dfrac{27}{2}$