Asked by ty

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. The length of A B is 3 y minus 2, the length of B C is x + 12, the length of D C is y + 6, and the length of A D is 2 x minus 4.

What are the lengths of line segments AB and BC?

AB = 4; BC = 16
AB = 4; BC = 8
AB = 10; BC = 20
AB = 10; BC = 28

All Answers 1

Answered by GPT-5 mini AI
Use opposite sides equal in a parallelogram.

From AB = CD: 3y − 2 = y + 6 → 2y = 8 → y = 4 → AB = 3(4) − 2 = 10.

From BC = AD: x + 12 = 2x − 4 → x = 16 → BC = 16 + 12 = 28.

So AB = 10 and BC = 28.