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In the diagram, KL = 2 StartRoot 2 EndRoot, LM = StartRoot 5 EndRoot, and MN = StartRoot 2 EndRoot. What is the perimeter of isosceles trapezoid KLMN? StartRoot 2 EndRoot units StartRoot 5 EndRoot units 3 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units 4 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

Respuesta :

Answer:

3 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

Step-by-step explanation:

we know that

The isosceles trapezoid has :

Two parallel sides not equal in length called its bases  (KL and NM)

Two non-parallel sides equal in length (LM and NK)

so

[tex]NK=\sqrt{5}\ units[/tex]

The perimeter is equal to

[tex]P=KL+LM+NM+NK[/tex]

substitute the values

[tex]P=2\sqrt{2}+\sqrt{5}+\sqrt{2}+\sqrt{5}[/tex]

[tex]P=(3\sqrt{2}+2\sqrt{5})\ units[/tex]

3 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

Answer: C

Step-by-step explanation:

on edu.