# A regular hexagon has six sides of equal length. If a regular hexagon is made from a 36-inch-long string, what is the length of each side?

Jan 14, 2017

$6$ inches

#### Explanation:

We have a regular hexagon and so there are six equal-length sides. We use a string to map out that hexagon - the string is 36 inches long. How long is each side?

We know each side will use up $\frac{1}{6}$ of the total length of the string and knowing that, we can find the side length in a few different ways.

One way is to say:

$36 \times \frac{1}{6} = \frac{36}{6} = 6$

Another way is to do a ratio:

$\text{length of one side"/"length of entire hexagon"="one side"/"number of sides to a hexagon}$

$\frac{x}{36} = \frac{1}{6}$

and then cross multiply:

$6 x = 36$

$x = 6$