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What is the are of an equilateral triangle of side 16 cm?

  • A.48√3 cm²
  • B.128√3 cm²
  • C.9.6√3 cm²
  • D.64√3 cm²

Answer: D

\[ A = \frac{\sqrt{3}}{4}a^{2} = \frac{\sqrt{3}}{4} \times 16^{2} \]

\[ = \frac{\sqrt{3}}{4} \times 256 = 64\sqrt{3} \text{ cm}^{2} \]

The side is squared, so doubling it would quadruple the area.

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