Question

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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

Answer 1

Answer: C

Explanation:

on edu.

Answer 2

3 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

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

`NK=√(5)\ units`

The perimeter is equal to

`P=KL+LM+NM+NK`

substitute the values

`P=2√(2)+√(5)+√(2)+√(5)`

`P=(3√(2)+2√(5))\ units`

3 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units