Area and Perimeter Unit Test
4 of 154 of 15 Items
Question
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
39 square centimeters
33 square centimeters
33 square centimeters
30 square centimeters
30 square centimeters
27 square centimeters
To find the total area of the piece of jewelry, we need to find the area of each separate shape (rectangle and two triangles) and then add them together.
The rectangle has a length of 9 cm and width of 3 cm, so the area of the rectangle is 9 cm * 3 cm = 27 square cm.
Each triangle has a base of 2 cm and height of 3 cm (since the triangle and rectangle share the same height), so the area of each triangle is 1/2 * base * height = 1/2 * 2 cm * 3 cm = 3 square cm. Since there are two triangles, the total area for both triangles combined is 2 * 3 square cm = 6 square cm.
Adding the areas of the rectangle and triangles together, we get: 27 square cm (rectangle) + 6 square cm (triangles) = 33 square cm.
Therefore, the total area of the piece of jewelry is 33 square centimeters.
Answer: 33 square centimeters.