Respuesta :

Parallelogram

We are given a figure where a parallelogram has side lengths of

9r-6, 8r+3, and 4r+19

The first two sides are congruent because they are the opposite sides of a parallelogram, thus:

9r - 6 = 8r + 3

Subtracting 8r:

r - 6 = 3

Adding 6:

r = 9

The value of r is r = 9

Now find the length of EF that must be equal to the length of the side CD, thus EF = 4r + 19 = 4*9 + 19 = 55

EF = 55