
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
Let $ABCD$ be a parallelogram where $AB \parallel CD$ and $AD \parallel BC$. The side lengths are $AB=15$, $BC=10$, $CD=15$, and $DA=10$. The midpoints of sides $AB$, $BC$, $CD$, and $DA$ are $M$, $N$, $P$, and $Q$ respectively. Calculate the area of the quadrilateral formed by joining these midpoints.
A) 35.5
B) 36.5
C) 37.5
D) 38.5
E) 39.5

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