
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
Let rectangle ABCD have length 2 and width 1. Attached to rectangle ABCD are two similar rectangles EFGH and IJKL along sides AB and CD respectively, such that the ratio of the sides of EFGH to ABCD is 1:2. If EC = x, find EC.

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