Question

Help please and simplify answer in radical form if needed

Answer 1

`16√(3)\:\mathrm{units^2}`

Explanation:

The area of an equilateral triangle with side length
`s` is equal to
`(√(3))/(4)s^2`. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is
`24/ 3=8` units.

Substituting in this value, we get:

`(√(3))/(4)8^2=(64√(3))/(4)=\boxed{16√(3)}`