The area of the equilateral triangle with the given perimeter is 24.2cm².
Hence, option D)24.2cm² is the correct answer.
This question is incomplete, the complete question is:
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?
<h3>What is a triangle?</h3>
A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
An equilateral triangle is a triangle with all its three sides having the same length
The area of an equilateral triangle is expressed as;
A = ((√3)/4)a²
Where a is the length of the side
Perimeter of an equilateral triangle is expressed as;
P = 3a
Where a is the length of the side
Given that the perimeter of the equilateral triangle is 22.45 cm, the sides of the triangle will be;
P = 3a
22.45cm = 3a
a = 22.45cm / 3
a = 7.48cm
Now, the area of the equilateral triangle will be;
A = ((√3)/4)a²
A = ((√3)/4) × (7.48cm)²
A = 0.433 × 55.9504cm²
A = 24.2cm²
The area of the equilateral triangle with the given perimeter is 24.2cm².
Hence, option D)24.2cm² is the correct answer.
Learn more about triangles here: brainly.com/question/19305981
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