Find the area of the equilateral triangle with sides of length $s = 18$ in. Round your answer to two decimal places.
A)121.50 square inches
B)561.18 square inches
C)140.30 square inches
D)162.00 square inches
E)486.00 square inches

Question

Quizplus · Accepted Answer

The area $A$ of an equilateral triangle with side length $s$ can be calculated using the formula $A = \frac{\sqrt{3}}{4}s^2$. Substituting $s = 18$ inches into the formula gives $A = \frac{\sqrt{3}}{4}(18)^2 = \frac{\sqrt{3}}{4} \cdot 324 = 81\sqrt{3}$. When calculated, this gives approximately $140.30$ square inches.

Find the Area of the Equilateral Triangle with Sides of Length