Respuesta :

mhanifa

Step-by-step explanation:

Find the sides and perimeter:

  • DE = 3 - (-2) = 5
  • EF = [tex]\sqrt{(2+2)^2+(-1+2)^2} =\sqrt{17}[/tex] ≈ 4.1
  • DF = [tex]\sqrt{(2+2)^2+(3+2)^2} =\sqrt{41}[/tex] ≈ 6.4

Perimeter:

  • P = 5 + 4.1 + 6.4 = 15.5 units

Find the area using shoelace formula:

  • A = 1/2|(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)|=
  • 1/2|(-2*3 + -2* -1 + 2* -2) - (-2* -2 + 3*2 - 1* -2)|=
  • 1/2|(-6 + 2 - 4) - (4 + 6 + 2)| =
  • 1/2|-8 - 12| =
  • 1/2(20) =
  • 10 units²

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