
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
 $K, L, M$  and  $N$  are points on sides  $AB, BC, CD$  and  $DA$ , respectively, of the unit square  $ABCD$  such that  $KM$  is parallel to  $BC$  and  $LN$  is parallel to  $AB$ . The perimeter of triangle  $KLB$  is equal to  $1$ . What is the area of triangle  $MND$ ?

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