1. **Problem Statement:** Find the perimeter of the hexagon with given side lengths 6, 10, and 8, and other sides marked as equal by tick marks. 2. **Understanding the figure:** The hexagon has 6 sides. Three sides are labeled: 6, 10, and 8. The other three sides are paired with tick marks indicating equality: - One side equals the side labeled 10 (since it has the same tick marks). - One side equals the side labeled 6. - One side equals the side labeled 8. 3. **Formula for perimeter:** $$\text{Perimeter} = \text{sum of all side lengths}$$ 4. **Calculate the perimeter:** Since the hexagon has pairs of equal sides, the total perimeter is: $$10 + 10 + 6 + 6 + 8 + 8 = 2 \times (10 + 6 + 8)$$ 5. **Simplify:** $$2 \times (10 + 6 + 8) = 2 \times 24 = 48$$ 6. **Answer:** The perimeter of the hexagon is 48. Therefore, the correct choice is C 48.