
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
Rectangles $ABCD$, $EFGH$, and $GHIJ$ have lengths of $2$, $3$, and $2$ units, and widths of $1$ unit each. Points $C$ and $D$ are now the midpoints of sides $IH$ and $HE$, respectively. Given the new dimensions, calculate the ratio of the area of the shaded pentagon $AJICB$ to the combined area of the three rectangles.
A) $\frac{1}{3}$
B) $\frac{1}{4}$
C) $\frac{1}{2}$
D) $\frac{3}{5}$

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