Question

in the diagram, KL=
`2 √(2)`LM=
`√(5)`MN=
`√(2)`what is the perimeter of isosceles trapezoid KLMN?

Answer 1

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

`\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}`