Help pl

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

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

The perimeter is equal to

substitute the values

3 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2