4 yards = 4 * 3 = 12 feet
5 yards = 5 * 3 = 15 feet
So, the area of the kitchen is:
12 feet * 15 feet = 180 square feet
Now, we can calculate the cost of tiling the kitchen by multiplying the area by the cost per square foot:
180 square feet * $2.89 per square foot = $520.20
Therefore, the cost to tile the kitchen is $520.20.