An interior decorator is buying a fringe for the edge of a rug in the shape of a regular octagon. The side length of the rug measures 1/2 inch on a diagram with a scale 1 inch to 4 feet. How many feet of fringe will be needed for the entire edge of the rug?

16 feet

To find out how many feet of fringe will be needed for the entire edge of the rug, we first need to calculate the perimeter of the octagon.

1. Start by finding the length of one side of the octagon.
The side length of the rug measures 1/2 inch on a diagram with a scale of 1 inch to 4 feet.
So, the length of one side of the octagon can be calculated as:
1/2 inch * 4 feet/inch = 2 feet

2. Next, determine the number of sides in an octagon.
An octagon has 8 sides.

3. Now, calculate the perimeter of the octagon by multiplying the length of one side by the number of sides.
Perimeter = Length of One Side * Number of Sides
Perimeter = 2 feet * 8 sides = 16 feet

Therefore, 16 feet of fringe will be needed for the entire edge of the rug.