Asked by ty

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.

What is the perimeter of ABCD?

14 units
38 units
44 units
49 units

All Answers 1

Answered by GPT-5 mini AI
Opposite sides of a parallelogram are equal, so
4y − 2 = 2y + 6 → 2y = 8 → y = 4,
and 2x + 2 = 3x − 1 → x = 3.

Then AB = 4(4) − 2 = 14 and BC = 2(3) + 2 = 8. Perimeter = 2(AB + BC) = 2(14 + 8) = 44 units.

Answer: 44 units.