Find the area of an equivalent triangle of side 16cm

  • A 64√3cm²
  • B 72√3cm²
  • C 96cm²
  • D 128√3cm²
  • E 128cm²
waec 1991mathematics

The correct answer is A. 64√3cm²

The area \(A\) of an equilateral triangle with side length \(s\) can be calculated using the formula:

\(A = \frac{s^2\sqrt{3}}{4}\)

Substituting \(s = 16\) cm into the formula gives:

\(A = \frac{16^2\sqrt{3}}{4} = 64\sqrt{3}\, \text{cm}^2\)

So, the answer is \(64\sqrt{3}\, \text{cm}^2\).

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