Let's denote the sides of the hexagon as a, a, a, a-15, 3(a-15), and 3(a-15). Since there are four sides of the same length, we can represent the perimeter as: 4a + 2(3(a-15)) = 121
Simplifying the equation: 4a + 6a - 90 = 121 10a = 211 a ≈ 21.1
So the sides of the hexagon are approximately: 21.1 mm; 21.1 mm; 21.1 mm; 21.1 - 15 = 6.1 mm; 3(6.1) = 18.3 mm; 3(6.1) = 18.3 mm
None of the given answer choices matches these values, so there may be an error in the problem statement or answer choices.
