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
30 square centimeters
30 square centimeters
27 square centimeters
27 square centimeters
33 square centimeters
33 square centimeters
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To find the total area of the piece of jewelry, we need to calculate the area of the rectangle and the two triangles separately, and then add them together.
Area of rectangle = length x width
Area of rectangle = 9 cm x 3 cm
Area of rectangle = 27 square centimeters
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 3 cm x 3 cm
Area of triangle = 4.5 square centimeters (for one triangle)
Area of triangles = 4.5 square centimeters x 2 = 9 square centimeters (for both triangles)
Total area = area of rectangle + area of triangles
Total area = 27 square centimeters + 9 square centimeters
Total area = 36 square centimeters
Therefore, the total area of the piece of jewelry is 36 square centimeters.
the awnser you can pick are
(1 point)
Responses
39 square centimeters
39 square centimeters
30 square centimeters
30 square centimeters
27 square centimeters
27 square centimeters
33 square centimeters
Apologies for the mistake in my previous response.
The correct answer is 30 square centimeters.