
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
A painting measuring 20 inches by 30 inches is to be placed in a wooden frame, with the longer dimension horizontal this time. The wood at the top and bottom is three times as wide as the wood on the sides. If the area of the frame equals that of the painting itself, determine the ratio of the smaller to the larger dimension of the framed painting.
A) $1:3$
B) $1:2$
C) $2:3$
D) $3:4$
E) $1:1$

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