Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?

the dimensions are 2 cm, 2 cm 3 cm and 9 cm

33
27
30
39

The total area of the piece of jewelry can be calculated by finding the sum of the areas of each individual side and then adding them together.

Area of the first rectangle: 2 cm x 2 cm = 4 cm^2
Area of the second rectangle: 3 cm x 2 cm = 6 cm^2
Area of the third rectangle: 3 cm x 9 cm = 27 cm^2

Total area = 4 cm^2 + 6 cm^2 + 27 cm^2 = 37 cm^2

Therefore, the total area of the piece of jewelry is 37 cm^2.