Question

Kelly is using ribbon to trim two identical placement, each in the shape of a regular hexagon.The ribbon is 80 inches long. After trimming the placemats she has 8 inches of ribbon leftover. What is the side length of each placemat

Answer 1

Side length of each placement is 6 inches.

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 =
`(72)/(12)`

x = 6 inches

Therefore, side length of each placement is 6 inches.