Final answer:
Router A should choose the route with the lowest hop count to reach Network X in the fastest way.
Step-by-step explanation:
In order for Router A to reach Network X in the fastest way, it should choose the route with the lowest hop count.
Hop count refers to the number of routers that a packet must pass through to reach its destination. By selecting the route with the lowest hop count, Router A can minimize the time taken for the packet to reach Network X.
For example, if there are multiple paths to Network X, Router A should prefer the path that requires passing through the fewest number of routers.