Final answer:
To determine the length of each side of the regular octagon, divide the perimeter, 24x+48, by 8, resulting in a side length of 3x+6.
Step-by-step explanation:
The student has asked about the length of each side of a regular octagon given the perimeter is 24x+48. To find the length of each side of a regular octagon, we divide the perimeter by the number of sides, which is 8.
Here's the step-by-step calculation:
- Start with the given perimeter of the octagon, which is 24x+48.
- Since an octagon has 8 equal sides, to find the length of one side, divide the perimeter by 8.
- Length of one side = (24x + 48) / 8
- Simplify the expression by dividing both terms by 8.
- Length of one side = 3x + 6.