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Marysya12 [62]
3 years ago
10

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

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

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

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