Find the area of an equilateral triangle each of whose sides measures 4 cm:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(4\sqrt{3}\,\mathrm{cm}^2\)
The area of an equilateral triangle of side \(a\) is \(\frac{\sqrt{3}}{4}a^2\). The side is given in centimetres, so the area comes out in square centimetres.
Area \(=\displaystyle\frac{\sqrt{3}}{4}\times4^2=\frac{\sqrt{3}}{4}\times16=4\sqrt{3}\,\mathrm{cm}^2\)
Option (2) has the right number but the wrong unit (m2).