Answer:
The Han Emperor Wudi, who reigned from 141 BCE to 87 BCE, likely wanted to build connections with the Yuezhi (also known as the Kushans) for a number of reasons.
Firstly, the Yuezhi controlled the important trade routes that linked China to Central Asia and the Mediterranean. By building connections with them, Emperor Wudi could have hoped to secure access to these trade routes and the valuable goods that were transported along them, such as silk, horses, and precious metals.
Secondly, the Yuezhi were a powerful nomadic confederation and building connections with them would have provided the Han Empire with a powerful ally in the region, which could have helped to counterbalance the power of other neighboring nomadic groups and protect the empire's northern borders.
Lastly, Emperor Wudi may have been interested in expanding the reach of Chinese culture and influence to the western regions, and building connections with the Yuezhi would have allowed him to do so. The Yuezhi were known to have adopted elements of Chinese culture, such as the use of Chinese script, and this could have served as a way to spread Chinese culture and influence to the Western regions.
Overall, Emperor Wudi's plan might have been to gain access to the important trade routes, secure a powerful ally in the region and expand the reach of Chinese culture and influence to the western regions.