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Answer :

we know that

The perimeter of trapezoid KLMN is equal to

P=KL+LM+MN+NK

Remember that

KL=NK ------> by isosceles trapezoid

substitute the given values

[tex]\begin{gathered} P=(2\sqrt[]{2})\text{+(}\sqrt[]{5})\text{ +(}\sqrt[]{2})\text{ +2}\sqrt[]{2} \\ P=(5\sqrt[]{2})\text{+(}\sqrt[]{5})\text{ units} \end{gathered}[/tex]

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