#### Answer

AB = 8
BC = 9
CD = 8
DA = 9

#### Work Step by Step

In a parallelogram, the sides opposite from each other are of equal length. This means that AB = CD and BC = DA. AB is given as 3x + 2, BC is given as 4x + 1, and CD = 5x - 2, therefore:
AB = CD
3x + 2 = 5x - 2
3x + 2 - 3x = 5x - 2 - 3x
2 = 2x - 2
2 + 2 = 2x - 2 + 2
4 = 2x
4/2 = 2x/2
2 = x
If x = 2, then AB = 3(2) + 2, which is 8, and BC = 4(2) + 1, which is 9. AB = CD, therefore CD is also 8, and BC = DA, therefore DA is also 9