Question

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

Answer 1

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