A regular hexagon is a six-sided figure with all sides equal and all six angles equal.  Find the length of the sides if the perimeter of the regular hexagon is 258ft

To find the length of each side of the regular hexagon, we can use the fact that the perimeter of a regular hexagon is the sum of all its sides. Since all six sides are equal, the perimeter \( P \) is given by:

\[
P = 6 \times \text{side length}
\]

We are given that the perimeter \( P \) is 258 feet. Let's denote the side length as \( s \). So,

\[
258 = 6 \times s
\]

Now, solve for \( s \):

\[
s = \frac{258}{6} = 43 \text{ feet}
\]

Thus, the length of each side of the regular hexagon is **43 feet**.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the area of the regular hexagon with side length 43 feet?
2. If the regular hexagon is inscribed in a circle, what is the radius of that circle?
3. How would the side length change if the perimeter were doubled?
4. What is the measure of each interior angle of a regular hexagon?
5. How would you find the length of the diagonal of the hexagon?

**Tip:** Remember that a regular hexagon can be divided into six equilateral triangles, which can be useful for calculating the area and other properties.

Learn how to find the length of each side of a regular hexagon when given the perimeter of 258 feet. Understand the formula for the perimeter of a regular hexagon and solve for the side length step-by-step. Suitable for students in Grades 7-9.

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