
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
Given $$\overrightarrow {m} = (2\cos A, 1)$$, $$\overrightarrow {n} = (1, \sin(A+ \frac {\pi}{6}))$$, and $$\overrightarrow {m}$$ is parallel to $$\overrightarrow {n}$$, in triangle ABC, the internal angles A, B, C are opposite to sides a, b, c respectively, with a=2 $$\sqrt {3}$$, c=4  
(Ⅰ) Find the value of A;  
(Ⅱ) Find b and the area of triangle ABC.

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