Final answer:
Lake Izabal and Lake Atitlan are both located in Guatemala, a country in Central America known for its rich Mayan history and cultural heritage.
Step-by-step explanation:
The country that has Lake Izabal, Lake Atitlan, and the mistakenly mentioned Lake Atitlan, which seems to be a typo for Lake Atitlan, is Guatemala. Guatemala is located in Central America and is a region rich with history including the remarkable Mayan Empire.
This empire was known for its flat-top pyramids, garden cities in the jungle, and impressive cities like Tikal which were often built next to large, shallow lakes vital for drinking, irrigation, and sustaining large urban populations. Lake Atitlan, specifically, is renowned for its beauty and is a popular tourist destination within Guatemala.