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Citrus2011 [14]
3 years ago
13

4. The area of a regular hexagon is 50 in. Find the length of a side. Round your answer to the nearest tenth.

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer: 4.4

Step-by-step explanation:

The formula for calculating the area of regular hexagon is given as :

Area = \frac{3\sqrt{3}}{2}a^{2}

Where a is the length of a side.

Substituting the value given , we have :

50 =  \frac{3\sqrt{3}}{2}a^{2}

50 x 2 = 3\sqrt{3} a^{2}

100 = 3\sqrt{3} a^{2}

Divide through by 3\sqrt{3}

a^{2} = \frac{100}{3\sqrt{3}}

a^{2} = 19.24500897

Take the square root of both sides :

a = \sqrt{19.24500897}

a = 4.3869

To the nearest tenth

a = 4.4

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