
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
Two  $5\times1$  rectangles have 2 vertices in common as on the picture. 
(a) Determine the area of overlap
(b) Determine the length of the segment between the other 2 points of intersection,  $A$  and  $B$ .

![Image](http://www.mathlinks.ro/Forum/album_pic.php?pic_id=290)

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