The correct routing design is OSPF with multiple areas. The company is moving away from RIP because the network has grown and now requires segmentation, summarization, fast convergence, and scalability. Cisco positions OSPF as a link-state IGP suitable for larger enterprise networks, and OSPF areas are the standard mechanism for containing topology information and scaling the link-state database. Area Border Routers can summarize routes between areas, reducing routing table size and limiting the scope of link-state flooding and SPF recalculation. This directly satisfies the requirement to segregate departments while summarizing between segments. EIGRP can converge quickly and summarize, but "stub areas" are not an EIGRP construct; EIGRP uses stub routers. OSPF virtual links are not a primary segmentation design tool; they are used to repair backbone connectivity issues. Modifying EIGRP K values changes metric calculation but does not solve segmentation or summarization. Reference topics: OSPF multi-area design, ABR summarization, SPF scope control, enterprise IGP scalability.