Question

Area and Perimeter Unit Test

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

39 square centimeters
39 square centimeters

27 square centimeters
27 square centimeters

33 square centimeters

Answer 1

[AI-generated answer — Bot GPT 3.5]

The total area of the piece of jewelry can be calculated by adding the area of the rectangle and the areas of the two triangles.

Area of rectangle = length x width = 9 cm x 3 cm = 27 square cm

Area of triangle = 1/2 x base x height
Area of each triangle = 1/2 x 2 cm x 3 cm = 3 square cm
Total area of both triangles = 2 x 3 square cm = 6 square cm

Total area of the piece of jewelry = 27 square cm (rectangle) + 6 square cm (triangles) = 33 square cm

Therefore, the correct answer is: 33 square centimeters