#### Answer

29.11 $cm^{2}$

#### Work Step by Step

Given the perimeter of equilateral triangle is 24.6 cm
We need to find the area of triangle
As we know perimeter of equilateral triangle is P = 3a
24.6 =3a
a = $\frac{24.6}{3}$ = 8.2 cm
The area of equilateral triangle = $\frac{\sqrt 3}{4}a^{2}$
=$\frac{\sqrt 3}{4}(8.2)^{2}$
=29.11 $cm^{2}$