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  • 20-04-2022
  • Mathematics
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Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)

Respuesta :

Аноним Аноним
  • 20-04-2022

Answer:

See below ~

Step-by-step explanation:

Distance Formula

  • D = √(x₂ - x₁)² + (y₂ - y₁)²

Finding the side lengths

  • AB = √(6 + 3)² + (-2 - 2)² = √81 + 16 = √97
  • BC = √(3 - 6)² + (-6 + 2)² = √9 + 16 = √25 = 5
  • CD = √(3 - 0)² + (-6 + 6)² = √9 = 3
  • DA = √(0 + 3)² + (-6 - 2)² = √9 + 64 = √73

Perimeter

  • AB + BC + CD + DA
  • √97 + 5 + 3 + √73
  • 8 + √97 + √73 units [radical form]
  • 8 + 9.85 + 8.54
  • 26.39 units (decimal form)
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