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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 \(\triangle PQR\).