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    Question

    If the perimeter of an equilateral triangle is 36 units,

    then its area is (in square units): 
    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 ÷ 3 = 12 units

    Area of an equilateral triangle = (√3 / 4) × side²
    = (√3 / 4) × 12²
    = (√3 / 4) × 144
    = 36√3 square units

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