Answer:
(B)\(15.6 in^2\)
Step-by-step explanation:
Given: A piece of art is in the shape of an equilateral triangle with sides of 6 in.
To find: The area of the piece of art.
Solution: Since, the piece of art is in the shape of an equilateral triangle, thus the area of equilateral triangle=\(\frac{\sqrt{3}}{4}{\times}(side)^{2}\)
=\(\frac{\sqrt{3}}{4}{\times}(6)^2\)
=\(\frac{\sqrt{3}}{4}{\times}6{\times}6\)
=\(9\sqrt{3}\)
=\(9(1.732)\)
=\(15.6 in^2\)
Therefore, area of the piece of art=\(15.6 in^2\)
