A rectangular kitchen floor measures 15 feet by 17 feet. A stove on the floor has a rectangular base measuring 3 feet by 4 ​feet, and a refrigerator covers a rectangular area of the floor measuring 4 feet by 5 feet. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the stove and the​ refrigerator?

First, calculate the total area of the kitchen floor:

Area = 15 feet * 17 feet = 255 square feet

Next, calculate the total area covered by the stove and refrigerator:
Stove area = 3 feet * 4 feet = 12 square feet
Refrigerator area = 4 feet * 5 feet = 20 square feet

Total area covered by stove and refrigerator = 12 square feet + 20 square feet = 32 square feet

Subtract the area covered by the stove and refrigerator from the total kitchen floor area to find the area needing tile:
255 square feet - 32 square feet = 223 square feet

Therefore, 223 square feet of tile will be needed to cover the kitchen floor not counting the area used by the stove and refrigerator.