Answer:
AB = 10 and BC = 28
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, thus
AB = DC, that is
3y - 2 = y + 6 ( subtract y from both sides )
2y - 2 = 6 ( add 2 to both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Hence AB = 3y - 2 = (3 × 4) - 2 = 12 - 2 = 10
And
AD = BC, that is
2x - 4 = x + 12 ( subtract x from both sides )
x - 4 = 12 ( add 4 to both sides )
x = 16
Hence BC = x + 12 = 16 + 12 = 28
