
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 terrain (  $ABCD$  ) has a rectangular trapezoidal shape.  The angle in  $A$  measures  $90^o$ .  $AB$  measures  $30$  m,  $AD$  measures  $20$  m and  $DC$  measures 45 m. This land must be divided into two areas of the same area, drawing a parallel to the  $AD$  side . At what distance from  $D$  do we have to draw the parallel?
![Image](https://1.bp.blogspot.com/-DnyNY3x4XKE/XNYvRUrLVTI/AAAAAAAAKLE/gohd7_S9OeIi-CVUVw-iM63uXE5u-WmGwCK4BGAYYCw/s400/image002.gif)

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