5. On the sides $\mathrm{AB}, \mathrm{BC}$, and $\mathrm{CA}$ of triangle $\mathrm{ABC}$, points $\mathrm{M}, \mathrm{N}$, and P are chosen, respectively, such that MP $\| \mathrm{BC}$ and MN $\| \mathrm{AC}$. If the area of $\triangle \mathrm{AMP}$ is $9 \mathrm{~cm}^{2}$, and the area of $\triangle \mathrm{MBN}$ is 16 $\mathrm{cm}^{2}$, calculate the area of triangle NPC.