Lake Lida is a sandy lake located in Otter Tail County, Minnesota, United States. Lida Township is named after the lake and is centered directly over it. The lake is approximately 6 miles long from north to south, and is a maximum of four miles wide from east to west from the widest point. "South Lake Lida" is located directly south of the main lake, separate…Lake Lida is a sandy lake located in Otter Tail County, Minnesota, United States. Lida Township is named after the lake and is centered directly over it. The lake is approximately 6 miles long from north to south, and is a maximum of four miles wide from east to west from the widest point. "South Lake Lida" is located directly south of the main lake, separated only by a land bridge. Almost adjacent to the north of Lake Lida are comparatively sized Lake Lizzie and smaller Lake Crystal.