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Perimeter of the parallelogram is 20 units.According to question,3 + x = 2a - 4 x = 2a - 4 - 3 x = 2a - 7Diagonals in a parallelogram bisects each other.Therefore, 2a - 7 = 3 2a = 3 + 7 2a = 10 a = 10/2 a = 5a - 1 = 4b - 65 - 1 = 4b - 6 4 = 4b - 6 4b = 4 + 6 4b = 10 b = 10/4 b = 5/2Opposite sides of a parallelogram are equal.Therefore, c - 2 = 2b c - 2 = 2(5/2) c - 2 = 5 c = 5 + 2 c = 7Sides of parallelogram,Side 1 = 12 - c = 12 - 7 = 5Side 2 = c - 2 = 7 - 2 = 5Perimeter of parallelogram = 2(length of side 1 + length of side 2) = 2(5 + 5) = 2 * 10 = 20Hence, perimeter is 20 units.To learn more about Perimeter here:https://brainly.com/question/6465134#SPJ1