Respuesta :

Answer:

A

Step-by-step explanation:

pythagorean theorem

A^2+B^2=C^2 do that for all sides then add

Answer:

A) 21.6 units

Step-by-step explanation:

Use the distance formula for each length:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-4-2)^2+(0-3)^2}\\d=\sqrt{36+9}\\d=\sqrt{45}\\\\ d=\sqrt{(2-4)^2+(3-0)^2}\\d=\sqrt{4+9}\\d=\sqrt{13}\\\\d=\sqrt{(4-0)^2+(0--4)^2}\\d=\sqrt{16+16}\\d=\sqrt{32}\\\\d=\sqrt{(0--4)^2+(-4-0)^2}\\d=\sqrt{16+16}\\d=\sqrt{32}\\\\p=\sqrt{45}+\sqrt{13}+\sqrt{32}+\sqrt{32}=21.62746371[/tex]

This means that option A is the closest answer