The perimeter of the kite is: C. 2√53 + 10 units.
What is the Perimeter of a Kite?
Perimeter = sum of all four sides that makes up the kite.
Find the length of each side of the kite:
WX = |-3 - 2| = 5 units
WZ = |-2 - 3)| = 5 units.
Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], find the length of XY and ZY:
[tex]XY = \sqrt{(4 - 2)^2 + (-4 - 3)^2} \\\\\mathbf{XY = \sqrt{53} }[/tex]
[tex]ZY = \sqrt{(-3 - 4)^2 + (-2 -(-4))^2} \\\\\mathbf{ZY = \sqrt{53} }[/tex]
Perimeter of the Kite = √53 + √53 + 5 + 5 = 2√53 + 10 units.
Perimeter of the Kite = 2√53 + 10 units.
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