Question

Find the area of an equilateral triangle each of whose sides measures 4 cm :

• A. \(4\sqrt3 cm^2\)
• B. \(4\sqrt3 m^2\)
• C. \(3\sqrt3 cm^2\)
• D. \(3\sqrt3 m^2\)

Answer 1

The Correct Option is A

To find the area of an equilateral triangle where each side measures 4 cm, we use the formula for the area of an equilateral triangle:

\( \text{Area} = \frac{\sqrt{3}}{4} \times \text{side}^2 \)

Given the side length \( s = 4 \, \text{cm} \), plug this value into the formula:

\( \text{Area} = \frac{\sqrt{3}}{4} \times 4^2 \)

Calculate \( 4^2 \):

\( 4^2 = 16 \)

Substitute back into the formula:

\( \text{Area} = \frac{\sqrt{3}}{4} \times 16 \)

Simplify the expression:

\( \text{Area} = 4\sqrt{3} \, \text{cm}^2 \)

Therefore, the area of the equilateral triangle is \( 4\sqrt{3} \, \text{cm}^2 \).