Question

An equilateral triangle has an apothem measuring 2.16 cm
and a perimeter of 22.45 cm.
What is the area of the equilateral triangle, rounded to the
nearest tenth?
2.7 cm
4.1 cm2
16.2 cm2
24.2 cm
2.16 cm

Answer 1

Answer:

d)   24.2 cm²

Area of equilateral triangle  A = 24.22 cm²

Step-by-step explanation:

Step(i):-

Perimeter of equilateral triangle  = 3 a

Given  Perimeter of equilateral triangle  = 22.45 cm

   now   3 a = 22.45

  Dividing '3' on both sides,we get

             a = 7.48 cm

Step(ii):-

Area of equilateral triangle

                                  $A = \frac{\sqrt{3} a^{2} }{4}$

                                   $A = \frac{\sqrt{3} (7.48)^{2} }{4}$

                                  A = 24.22 cm²

Conclusion:-

Area of equilateral triangle  A = 24.22 cm²

Answer 2

Answer:

The answer is 24.2

Step-by-step explanation:

on edg. 2020