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
39 square centimeters
33 square centimeters
27 square centimeters
30 square centimeters
The total area of the piece of jewelry can be calculated by finding the area of the rectangle and adding the areas of the two triangles.
Area of rectangle = length x width = 9 cm x 3 cm = 27 square centimeters
Area of triangle 1 = (1/2) x base x height = (1/2) x 3 cm x 3 cm = 4.5 square centimeters
Area of triangle 2 = (1/2) x base x height = (1/2) x 2 cm x 3 cm = 3 square centimeters
Total area = 27 square centimeters + 4.5 square centimeters + 3 square centimeters = 34.5 square centimeters
Therefore, the total area of the piece of jewelry is 34.5 square centimeters.