Question 29
In the diagram, $\triangle PQR$ has an area of 960 square units. The points $S$, $T$ and $U$ are the midpoints of the sides $QR$, $RP$ and $PQ$, respectively, and the lines $PS$, $QT$ and $RU$ intersect at $W$.
The points $L$, $M$ and $N$ lie on $PS$, $QT$ and $RU$, respectively, such that $PL:LS=1:1$, $QM:MT=1:2$ and $RN:NU=5:4$.
What is the area, in square units, of $\triangle LMN$?
The points $L$, $M$ and $N$ lie on $PS$, $QT$ and $RU$, respectively, such that $PL:LS=1:1$, $QM:MT=1:2$ and $RN:NU=5:4$.
What is the area, in square units, of $\triangle LMN$?