How to find the length of the side of a hexagon

Help Questions

ACT Math › How to find the length of the side of a hexagon

Questions 1 - 5

1

Find the length of one side for a regular hexon with a perimeter of .

Explanation

Use the formula for perimeter to solve for the side length:

2

Find the length of one side for a regular hexagon with a perimeter of .

Explanation

Use the formula for perimeter to solve for the side length:

3

What is the maximum length of each side for a regular hexago with a perimeter of ?

8.8

Explanation

Use the formula for perimeter to solve for the side length:

4

If the perimeter of a regular hexagon is , what is the length of a side of that regular hexagon?

Explanation

Use the formula for perimeter to solve for the length of a side of the regular hexagon:

Where is perimeter and is the length of a side.

In this case:

$s=\frac{112.8}{6}=18.8$

5

What is the side of a Hexagon whose area is $216\sqrt3\textup{ m}^2$ ?

$s = 12\textup{m}$

$s = 12\textup{m}^2$

$s = \sqrt{72}\textup{m}$

$s = \sqrt{108}\textup{m}$

$s = 12\sqrt{3}\textup{m}$

Explanation

To find the side of a hexagon given the area, set the area formula equal to the given area and solve for the side.
$216\sqrt{3}=\frac{3}{2}\sqrt{3}*a^2 ewline ewline 432\sqrt3 = 3\sqrt{3}*a^2 ewline ewline 432 = 3*a^2 ewline 144 = a^2 ewline 12 = a$

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