Respuesta :

mhanifa

Answer:

  • 8[tex]\sqrt{13}[/tex] units

Step-by-step explanation:

We know that:

  • P = 4a

We can find one side by distance formula:

  • a = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
  • a = [tex]\sqrt{(10 - 4)^2+(-5+9)^2} = \sqrt{36+16} = \sqrt{52} = 2\sqrt{13}[/tex]

Then the perimeter is:

  • P = 4*2[tex]\sqrt{13}[/tex] = 8[tex]\sqrt{13}[/tex] units