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To find the area of the composite shape, we need to add the areas of the individual shapes.
First, let's calculate the area of the rectangle:
Area = length x width
Area = 27 cm x 180 cm
Area = 4860 square cm
Next, let's calculate the area of the triangle:
Area = 1/2 x base x height
Area = 1/2 x 72 cm x 108 cm
Area = 3888 square cm
Now, let's add the areas of the rectangle and triangle to get the total area of the composite shape:
Total Area = 4860 square cm + 3888 square cm
Total Area = 8748 square cm
Therefore, the area of the composite shape is 8748 square cm.