Question

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

Answer 1

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

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}=(√(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}=(√(3))/(4)(16)^2\\\Rightarrow\text{Area}=(√(3))/(4)(256)\\\Rightarrow\text{Area}=110.85\approx110.9 ft^2`