Final answer:
The perimeter of the hexagon is 102 units.
Step-by-step explanation:
A regular hexagon contains 6 triangles. Since the sides of each triangle are all the same length, we can divide the perimeter of the triangle by the number of sides to find the length of each side of the triangle. In this case, the perimeter of one triangle is 51, so each side of the triangle is 51/3 = 17 units.
Since there are 6 triangles in the hexagon, we can multiply the length of one side of the triangle by 6 to find the perimeter of the hexagon. Therefore, the perimeter of the hexagon is 17 x 6 = 102 units.