Final answer:
The state that includes the Colorado, Green, and San Juan Rivers is Utah. These three rivers are part of a river system that spans multiple states, with the Colorado River providing essential water resources and being managed by structures such as Hoover Dam.
Step-by-step explanation:
The Colorado River, Green River, and San Juan River are all part of the Colorado River basin which spans across multiple states. The state that encompasses all three of these rivers is Utah. The Colorado River is particularly notable; it starts in the Rocky Mountains and flows through 1,440 miles to the Gulf of California. It provides essential water resources for over 24 million people and irrigation for approximately 2 million acres of land. The river system includes Hoover Dam, a significant engineering accomplishment that helps manage the river's flow and allocate water to various states.
Despite each river flowing through several states, Utah is unique as it includes sections of the Colorado River, as well as the entirety of the Green and San Juan Rivers within its state boundaries. The Colorado River's vast basin spans portions of seven states: Arizona, Colorado, California, Nevada, New Mexico, Utah, and Wyoming. The waters of this river basin are highly regulated to ensure distribution according to federal laws.