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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.
The piece of jewelry consists of a rectangle with dimensions 6 cm by 9 cm, a square with sides of length 3 cm, and a triangle with base 6 cm and height 3 cm.
Area of rectangle = length x width = 6 cm x 9 cm = 54 square cm
Area of square = side x side = 3 cm x 3 cm = 9 square cm
Area of triangle = 1/2 x base x height = 1/2 x 6 cm x 3 cm = 9 square cm
Total area = 54 square cm + 9 square cm + 9 square cm = 72 square cm
Therefore, the total area of the piece of jewelry is 72 square centimeters.