The area covered by the decals is 90.62 square centimeters
How to determine the total surface area covered?
Start by calculating the total surface area of the prism using:
Total Surface Area = Base areas + Lateral Surface Area.
From the figure, we have:
Base Areas = 2 * Area of Trapezoidal Base
Base Areas = 2 * 0.5 * (Sum of opposite sides) + Height
Base Areas = 2 * 0.5 * (5 1/4 + 6 1/2) * 4
Base Areas = 47
Lateral Surface Area = Perimeter of Base * Length of Prism
Lateral = (6 1/2 + 5 1/4 + 4 + 4 1/5) * 9
Lateral = 179.55
Substitute these values in Total Surface Area = Base areas + Lateral Surface Area.
Total Surface Area = 47 + 179.55
Total Surface Area = 226.55
To cover 2/5, we have:
Area covered = 2/5 * 226.55
Area covered = 90.62
Hence, the area covered by the decals is 90.62 square centimeters
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