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      Question

      If the perimeter of an equilateral triangle is 36 units,

      then its area is (in square units):Β 
      A 144√2 Correct Answer Incorrect Answer
      B 36√2 Correct Answer Incorrect Answer
      C 144√3 Correct Answer Incorrect Answer
      D 36√3 Correct Answer Incorrect Answer

      Solution

      Perimeter = 36 units
      Each side = 36 Γ· 3 = 12 units

      Area of an equilateral triangle = (√3 / 4) Γ— sideΒ²
      = (√3 / 4) Γ— 12Β²
      = (√3 / 4) Γ— 144
      = 36√3 square units

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