## Elementary Geometry for College Students (7th Edition)

29.11 $cm^{2}$
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 $cm^{2}$