
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
Given that $\text{EFGH}$ is a rectangle, with $\text{H}$ as the center of a circle and $\text{G}$ on the circle, $\text{EH} = 5$, and $\text{GH} = 7$, determine the area of the shaded region formed between a semicircle and the rectangle.

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