Respuesta :

Answer:

x = 19

Step-by-step explanation:

The shape of the flower base has six sides of equal lengths. This means that the flower base is a regular hexagon. A regular hexagon is a closed polygon with six equal sides and six equal angles.

Each side of the base measures x - 6, and the perimeter of the base is 78 units.

Length of each side = x - 6

The total length of the base = perimeter of the base.

The total length of the base is gotten by summing all the sides of the base. Since the base has 6 sides, therefore the total length of the base = 6(x - 6). Hence:

Perimeter of base = 6(x - 6)

78 = 6x - 36

6x = 78 + 36

6x = 114

x = 114 / 6

x = 19

Length of each side of base = x - 6 = 19 - 6 = 13 units

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