In the figure, the area of square $WXYZ$ is $64{\text{cm}}^2$. The four smaller squares have sides $1\text{cm}$ long, either parallel to or coinciding with the sides of the large square. In $△ABC$, $AB=AC$, and when $△ABC$ is folded over side $\overline{BC}$, point $A$ coincides with $O$, the center of square $WXYZ$. What is the area of $△ABC$, in square centimeters?