Use the image to answer the question.

A composite shape is drawn using a rectangle and 2 triangles. A horizontally aligned rectangle is 9 centimeters long and 3 centimeters wide. A right triangle facing upward adjoins the rectangle on the left side marked 3 centimeters. A right triangle facing downward adjoins the rectangle on the right side. The base leg of both triangles measures 2 centimeters.

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 point)
Responses

33 square centimeters
33 square centimeters

30 square centimeters
30 square centimeters

27 square centimeters
27 square centimeters

39 square centimeters

1 answer

The total area of the piece of jewelry is 33 square centimeters.

The area of the rectangle is 9 cm x 3 cm = 27 square cm.
The area of each triangle is (1/2) base x height = (1/2) x 2 cm x 3 cm = 3 square cm.
Since there are 2 triangles, the total area of the triangles is 3 cm + 3 cm = 6 square cm.

Therefore, the total area of the piece of jewelry is 27 square cm + 6 square cm = 33 square cm.