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diamong [38]
3 years ago
6

Find the area of the regular polygon. Round to the nearest tenth. 16 fi [ ? ] ft2

Mathematics
1 answer:
padilas [110]3 years ago
5 0

Answer:

110.9ft²

Step-by-step explanation:

The given regular polygon is a triangle.

Therefore it is an equilateral triangle.

Area of an equilateral triangle is given by:

A =  \frac{ \sqrt{3} }{4}  {s}^{2}

Where s is the magnitude of one side.

From the given diagram, the side of the equilateral triangle is s=16ft.

A =  \frac{ \sqrt{3} }{4}  \times  {16}^{2}

This implies that:

A =  \frac{ \sqrt{3} }{1}  \times 4 \times 16 {ft}^{2}

This simplifies to:

A = 64 \sqrt{3}  {ft}^{2}

A = 110.85

The area to the nearest tenth is 110.9 ft²

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