
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
A rectangle $MNPQ$ is defined where the length of $MN$ is twice the length of $MP$. If $MP$ is known to be 2 units, and extensions from the rectangle's vertices $M$, $Q$ extend by 2 units each, to points $S$ on the line extending $MN$ and $R$ on the line extending $PQ$ respectively. Determine the area of the shaded region formed by lines $MS$, $RQ$, and $NP$.

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