Question

Find the area of the regular polygon.
Round to the nearest tenth.

Answer 1

Answer: $\text{Area}=110.9 ft^2$

Step-by-step explanation:

The given regular polygon has 3 sides, therefore, it is a triangle with all sides equal and called equilateral triangle.

The area of equilateral triangle is given by:-

$\text{Area}=\frac{\sqrt{3}}{4}a^2$, where a is the side length of equilateral triangle.

Now, the area of given equilateral triangle with sides = 16 ft. is given by:-

$\text{Area}=\frac{\sqrt{3}}{4}(16)^2\\\Rightarrow\text{Area}=\frac{\sqrt{3}}{4}(256)\\\Rightarrow\text{Area}=110.85\approx110.9 ft^2$