
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the diagram, $M$ and $N$ are the midpoints of $\overline{PQ}$ and $\overline{QR}$ respectively on a quadrilateral $PQRS$ with $PS$ parallel to $QR$. If $PQ = 10$ units, $QR = 14$ units, and $PS = 7$ units, determine the area of $\triangle MNR$.
[asy]
size(200);
pair P, Q, R, S, M, N;
P = (0, 5);
Q = (10, 5);
R = (14, 0);
S = (7, 0);
M = midpoint(P--Q);
N = midpoint(Q--R);
draw(P--Q--R--S--P);
draw(M--N);
label("$P$", P, N);
label("$Q$", Q, N);
label("$R$", R, S);
label("$S$", S, S);
label("$M$", M, N);
label("$N$", N, S);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user