The area of a shape is the amount of space the shape occupies
The area of the shaded region in square cm is 48 square cm
The logo is a trapezoid with the following dimensions
The area of a trapezoid is:
Area = 0.5 * Height * (Sum of parallel sides)
Substitute known values
Area = 0.5 * 12 cm * (6cm + 2cm)
Evaluate
Area = 48 square cm
Hence, the area of the logo i.e. shaded region is 48 square cm
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