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
27 square centimeters
27 square centimeters
33 square centimeters
33 square centimeters
30 square centimeters
30 square centimeters
39 square centimeters
39 square centimeters
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To find the total area of the piece of jewelry, we need to calculate the area of each shape and then add them together.
First, find the area of the rectangle:
Area = length * width
Area = 9cm * 3cm
Area = 27 square centimeters
Next, find the area of one triangle:
Area = 0.5 * base * height
Area = 0.5 * 3cm * 2cm
Area = 3 square centimeters
Since there are two triangles, the total area of the triangles is 3 square centimeters * 2 triangles = 6 square centimeters
Now, add the area of the rectangle and the area of the triangles together:
27 square centimeters (rectangle) + 6 square centimeters (triangles) = 33 square centimeters
Therefore, the total area of the piece of jewelry is 33 square centimeters.
Correct answer: 33 square centimeters