Final answer:
Lexington and Bowling Green are both cities located in the state of Kentucky.
Step-by-step explanation:
The state that has both Lexington and Bowling Green is Kentucky. Lexington is known for its historical significance and is located in the central part of the state. Bowling Green is in the southern part of Kentucky and is known for its manufacturing industries and as the home of Western Kentucky University.
While the mention of the Battle at Lexington Green, 1775 relates to a different Lexington located in Massachusetts, the Lexington in this question refers to the one in Kentucky.