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
30 square centimeters
30 square centimeters
33 square centimeters
33 square centimeters
39 square centimeters
27 square centimeters
To calculate the area of the composite shape, we first need to find the individual areas of the rectangle and the two triangles.
The area of the rectangle is 9 cm * 3 cm = 27 square centimeters.
The area of the two triangles can be calculated as follows:
Triangle 1 = (1/2) * base * height = (1/2) * 2 cm * 3 cm = 3 square centimeters
Triangle 2 = (1/2) * base * height = (1/2) * 2 cm * 3 cm = 3 square centimeters
Total area = Area of rectangle + Area of two triangles = 27 square centimeters + 3 square centimeters + 3 square centimeters = 33 square centimeters
So, the total area of the piece of jewelry is 33 square centimeters.