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Triangles $PAB$ and $PCD$ are similar, so \[\frac{[PAB]}{[PCD]} = \left( \frac{AB}{CD} \right)^2 = \frac{x^2}{y^2}.\] But we are given that $[PAB] = 8$ and $[PCD] = 18$, so \[\frac{x^2}{y^2} = \frac{8}{18} = \frac{4}{9},\] which means $x/y = 2/3$. Then
54 is NOT correct
15 is not correct