Final answer:
In a parallelogram, opposite sides are equal in length. So, MQ = NP = 6 units. Since RX = PN = 4 units, we can find the length of RN by subtracting RX from MQ: RN = 6 units - 4 units = 2 units.
Step-by-step explanation:
Since MNQP is a parallelogram, the opposite sides are equal in length.
Since MQ and NP are opposite sides of the parallelogram, they are equal in length. Therefore, MQ = NP = 6 units.
Let's call the point where R meets NP as point X. Since MNQP is a parallelogram, the opposite sides are parallel and equal in length.
Therefore, RX = PN = 4 units.
Now we can find the length of RN by subtracting the length of RX from the length of MQ:
RN = MQ - RX = 6 units - 4 units = 2 units.