Respuesta :
They give you the lengths of the sides in the problem. NM = sqrt 2, LK = 2sqrt 2, LM & NK = sqrt5 Perimeter is to add all of the sides so: sqrt2 + 2sqrt2 = 3sqrt2. sqrt5 + sqrt5 = 2sqrt5. Together it is 3sqrt2 + 2sqrt5It's letter C 3sqrt2 + 2sqrt5
The Perimeter of the isosceles trapezoid KLMN given the dimensions is;
3√2 + 2√5
How to find the Perimeter of a Quadrilateral?
We re given the lengths of the isosceles trapezoid KLMN as;
KL = 2√2; LM = √5; MN = √2
We don't have the length of KN but we have the coordinates as;
K(-2, -4) and N(-1, -2)
Length of KN = √[(-2 - (-4))² + (-1 - (-2))]
Length of KN = √5
Thus;
Perimeter = 2√2 + √5 + √2 + √5
Perimeter = 3√2 + 2√5
Read more about Quadrilateral Perimeter at; https://brainly.com/question/24571594
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