Question

quadrilateral abcd had 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.​

Answer 1

y = 3

Explanation:

Opposite sides of a parallelogram are the same length, so ...

BC = AD

4y -5 = 2y +1 . . . . substitute the given expressions

2y = 6 . . . . . . . . . . add 5-2y

6/2 = y = 3 . . . . . . divide by the coefficient of y