What is the perimeter of kite klmn?

✓2+ ✓5 units
✓14 units
2✓2 + 2✓5 units
4✓5 units

The correct answer is C. 2✓2 + 2✓5 units

Step-by-step explanation:

1. Let's use the Pythagorean theorem for finding the perimeter of the kite KLMN:

A. Sides NK and KL:

Length of NK ² = 1 ² + 2² (Please note that the length of the base is 2 units and the height is 1 unit)

Length of NK ² = 1 + 4

Length of NK ² = 5

Length of NK  = √5 units

Also note that the length of KL = NK, then NK + KL = 2√5 units

B. Sides MN and LM:

Length of MN ² = 1 ² + 1² (Please note that the length of the base is 1 unit and the height is 1 unit)

Length of MN ² = 1 + 1

Length of MN ² = 2

Length of MN  = √2 units

Also note that the length of MN = LM, then MN + LM = 2√2 units

C. Perimeter of the kite:

Perimeter = NK  + KL + LM + MN

Perimeter = √5  + √5 + √2 + √2

Perimeter = 2√5 + 2√2 units

The correct answer is C. 2✓2 + 2✓5 units

4th option is correct xy=-10

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