
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
On the 6 by 6 square grid below, each dot is 1 cm from its nearest horizontal and vertical neighbors. Find the product of the area of rectangle $EFGH$ and the perimeter of rectangle $EFGH$, where the rectangle's corners are placed at coordinates E(1,5), F(5,5), G(5,2), and H(1,2).

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