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Math·Geometry and Trigonometry·Lines, angles, and triangles

hard

In the figure, $\overline{LQ}$ intersects $\overline{MP}$ at point $R$, and $\overline{LM}$ is parallel to $\overline{PQ}$. The lengths of $\overline{MR}$ and $\overline{RP}$ are $9$ and $17$ units, respectively. The area of $\Delta LMR$ is $45$ square units. What is the area of $\Delta PQR$, in square units?

A

$\frac{3,645}{289}$

B

$\frac{405}{17}$

C

$85$

D

$\frac{1,445}{9}$