To find the total square footage of flooring needed, we need to subtract the area of the counter, stove, and sink from the total area of the hallway and kitchen.
Area of the hallway = 16 ft * 4 ft = 64 sq ft
Area of the kitchen = 20 ft * 9 ft = 180 sq ft
Total area of the hallway and kitchen = 64 sq ft + 180 sq ft = 244 sq ft
Area of the counter = 8 ft * 2 ft = 16 sq ft
Area of the stove = 2 ft * 2 ft = 4 sq ft
Area of the sink = 9 ft * 2 ft = 18 sq ft
Total area of the counter, stove, and sink = 16 sq ft + 4 sq ft + 18 sq ft = 38 sq ft
Total square footage of flooring needed = 244 sq ft - 38 sq ft = 206 sq ft.
Therefore, Marco needs to purchase 206 square feet of flooring.