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3 years ago

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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