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First, let's calculate the area of the top of the sheet cake that will be covered in chocolate icing:
Area of the top = Length * Width
Area of the top = 26 * 18
Area of the top = 468 square inches
Now, let's calculate the area of the four sides of the sheet cake that will be covered in vanilla icing:
Area of one side = Length * Height
Area of one side = 26 * 2
Area of one side = 52 square inches
Since there are four sides, we need to calculate the total area of all sides:
Total area of all sides = 4 * Area of one side
Total area of all sides = 4 * 52
Total area of all sides = 208 square inches
So, Ilana will cover 208 square inches of the sheet cake in vanilla icing.