Question
Find the length of one side of a regular hexagon, if its perimeter is 24x + 48.
3x + 6
6x + 12
4x + 8
8x + 16
3x + 6
6x + 12
4x + 8
8x + 16
Answers
GPT-4o mini
A regular hexagon has 6 equal sides. The perimeter of a regular hexagon is given by the formula:
\[
\text{Perimeter} = 6 \times \text{side length}.
\]
Given that the perimeter of the hexagon is \( 24x + 48 \), we can express this as:
\[
6 \times \text{side length} = 24x + 48.
\]
To find the length of one side, we can divide both sides of the equation by 6:
\[
\text{side length} = \frac{24x + 48}{6}.
\]
Now, let's simplify the right side:
\[
\text{side length} = \frac{24x}{6} + \frac{48}{6} = 4x + 8.
\]
Therefore, the length of one side of the regular hexagon is:
\[
\boxed{4x + 8}.
\]
\[
\text{Perimeter} = 6 \times \text{side length}.
\]
Given that the perimeter of the hexagon is \( 24x + 48 \), we can express this as:
\[
6 \times \text{side length} = 24x + 48.
\]
To find the length of one side, we can divide both sides of the equation by 6:
\[
\text{side length} = \frac{24x + 48}{6}.
\]
Now, let's simplify the right side:
\[
\text{side length} = \frac{24x}{6} + \frac{48}{6} = 4x + 8.
\]
Therefore, the length of one side of the regular hexagon is:
\[
\boxed{4x + 8}.
\]