Answer:
11 + sqrt(53)
Explanation:
Lengths
KL = -1 - (-3) = 2
LM = sqrt[(4--3)² + (1--1)²]
= sqrt(53)
MN = sqrt[(1-4)² + (-3-1)²]
= 5
NK = 1 - (-3) = 4
Perimeter = 2 + sqrt(53) + 5 + 4
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