Quadrilateral abcd has side lengths of ab = 3, bc = 4y – 5, cd = 3, and ad = 2y + 1. find the value of y for which quadrilateral abcd is a parallelogram.. a.1. b.2. c.3. d.4.

For quadrilateral ABCD to be a parallelogram, the sides AB and CD are opposites and that they should be equal to each other. On the same hand, BC and AD should also be equal. Equating,
                              AB = CD = 3 = 3
                              BC = AD = 4y - 5 = 2y + 1
The value of y from the second equation is 3. Thus, the answer is letter C. 3

The correct answer is c