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?

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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?

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Answer 1 · 2017-01-14T03:01:13

$6$ $6$ 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 $\frac{1}{6}$ $1/6$ 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:

$36 \times \frac{1}{6} = \frac{36}{6} = 6$ $36xx1/6=36/6=6$

Another way is to do a ratio:

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

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

and then cross multiply:

$6 x = 36$ $6x=36$

$x = 6$ $x=6$

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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?

1 Answer

Explanation:

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