Question

The logo on a recycling bin resembles an equilateral triangle with side lengths of 6 centimeters. Approximate the area of the logo.

Answer 1

Answer:

9$\sqrt{3}$ cm² or approximately 15.59 cm²

Step-by-step explanation:

Use the formula for the area of an equilateral triangle, A = $\frac{\sqrt{3} }{4}$a²

Plug in the side length, 6 cm, as a in the formula:

A = $\frac{\sqrt{3} }{4}$(6²)

A = $\frac{\sqrt{3} }{4}$(36)

A = 9$\sqrt{3}$

So, the area of the logo is 9$\sqrt{3}$ cm² or approximately 15.59 cm²