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ELEN [110]
3 years ago
7

Kelly is using ribbon to trim two identical placement, each in the shape of a regular hexagon.The ribbon is 80 inches long. Afte

r trimming the placemats she has 8 inches of ribbon leftover. What is the side length of each placemat
Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

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 = \frac{72}{12}

x = 6 inches

Therefore, side length of each placement is 6 inches.

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