
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
Quadrilateral $EFGH$ has sides $EF,~ FG, ~GH$ and $HE$ which are extended past $F,~ G ,~ H$ and $E$ to points $F',~ G',~ H'$ and $E'$. The side lengths and their extensions are $EF = F'F = 5$, $FG = GG' = 10$, $GH = HH' = 9$, and $HE = E'E = 7$. The area of $EFGH$ is $12$. Calculate the area of $E'F'G'H'$.
A) 32
B) 36
C) 40
D) 48

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