
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
Two congruent squares, $EFGH$ and $MNPQ$, have side length $10$. Beside these, square $XYZW$ with side length $5$ is placed such that it overlaps partially with square $MNPQ$ to form a $20$ by $15$ rectangle $EMQH$. Calculate the percentage of the area of rectangle $EMQH$ that is shaded by the overlapping parts of squares $MNPQ$ and $XYZW$.
A) \(40\%\), B) \(45\%\), C) \(50\%\), D) \(54.17\%\) E) \(60\%\)

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