Answer: (24x + 48) / 8 = 3x + 6
Therefore, the length of each side of the regular octagon is 3x + 6.
For example, if x is 2, then the length of each side would be (3 * 2) + 6 = 12.
Step-by-step explanation: To find the length of each side of the regular octagon, we can use the formula for the perimeter of an octagon. The perimeter of a regular octagon is equal to the sum of the lengths of all its sides.
Given that the perimeter is 24x + 48, we can divide this by 8 (since there are 8 sides in an octagon) to find the length of each side.
(24x + 48) / 8 = 3x + 6
Therefore, the length of each side of the regular octagon is 3x + 6.
For example, if x is 2, then the length of each side would be (3 * 2) + 6 = 12.