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To find the total area of the piece of jewelry, we need to calculate the area of each individual shape and then add them together.
Rectangle:
Length = 6 cm
Width = 3 cm
Area = Length x Width = 6 cm x 3 cm = 18 square cm
Triangle:
Base = 6 cm
Height = 3 cm
Area = (1/2) x Base x Height = (1/2) x 6 cm x 3 cm = 9 square cm
Circle:
Radius = 3 cm
Area = π x Radius^2 = π x (3 cm)^2 = 9π square cm
Adding all three areas together:
18 square cm (rectangle) + 9 square cm (triangle) + 9Ï€ square cm (circle) = 27 + 9Ï€ square cm
Approximating π to 3.14:
27 + 9(3.14) = 27 + 28.26 = 55.26 square cm
Therefore, the total area of the piece of jewelry is approximately 55.26 square centimeters.
Since this is not one of the options provided, it seems there may have been an oversight in the given choices.