# Problem of the Week Problem E Good Extensions

The sides of $$\triangle PQR$$ are extended to create $$\triangle XYZ$$ as follows: side $$RQ$$ is extended to $$Y$$ so that $$RQ=QY$$, side $$QP$$ is extended to $$X$$ so that $$QP=PX$$, and side $$PR$$ is extended to $$Z$$ so that $$PR=RZ$$.

If the area of $$\triangle XYZ =1197$$, determine the area of $$\triangle PQR$$.