Answer:
Side length of each placement is 6 inches.
Step-by-step explanation:
Kelly is using a ribbon to trim two identical placements of length = 80 inches
Each placement is in the shape of a regular hexagon.
So perimeter of these regular hexagons = 2×(Sum of all 6 sides of a hexagon)
Let the side length of each regular hexagon = x inches
Total perimeter of these identical placements = 2(6x) = 12x
Perimeter of identical placements = Length of the ribbon used
12x = (80 - length of leftover ribbon)
12x = 80 - 8
x = [tex]\frac{72}{12}[/tex]
x = 6 inches
Therefore, side length of each placement is 6 inches.
