Question

What is the perimeter of kite KLMN ?

Answer 1

The perimeter = 2* length of MN+ 2 * length of NK.

Use the distance formula to find these lengths:-

MN = sqrt((4-3)^2 + (3-2)^2)) = sqrt (1 + 1) = sqrt2

NK = sqrt((4-3)^2 + (3-5)^2)) = sqrt (1 + 4) = sqrt5

Perimeter = 2 sqrt2 + 2 sqrt5 units

That is the third choice

Answer 2

The correct answer is:

2√2 + 2√5

Step-by-step explanation:

To find the perimeter, we need the length of each side of the kite. To find this, we find the distance between each vertex.

To find the distance from M to N:

`image`

To find the distance from N to K:

`image`

To find the distance from K to L:

`image`

To find the distance from L to M:

`image`

To find the perimeter, we add together all of the side lengths:

√2+√5+√5+√2

Treating the radicals as like terms, we have:

2√2+2√5