9 cm

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

1 answer

To find the total area, we need to calculate the area of each component and then add them together.

1. The area of the rectangle on the left:
Length = 9 cm
Width = 2 cm
Area = length x width = 9 cm x 2 cm = 18 cm²

2. The area of the rectangle in the middle:
Length = 3 cm
Width = 2 cm
Area = length x width = 3 cm x 2 cm = 6 cm²

3. The area of the rectangle on the right:
Length = 2 cm
Width = 2 cm
Area = length x width = 2 cm x 2 cm = 4 cm²

Total area = 18 cm² + 6 cm² + 4 cm² = 28 cm²

Therefore, the total area of the piece of jewelry is 28 cm².