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
30 square centimeters
30 square centimeters
27 square centimeters
27 square centimeters
39 square centimeters
39 square centimeters
33 square centimeters
To find the total area of the piece of jewelry, we need to find the areas of the rectangle and the two triangles, and then add them together.
Area of the rectangle:
Length = 9 cm, Width = 3 cm
Area = Length x Width = 9 cm x 3 cm = 27 square cm
Area of one triangle:
Base = 2 cm, Height = 3 cm
Area = 1/2 x Base x Height = 1/2 x 2 cm x 3 cm = 3 square cm
Total area = Area of rectangle + 2 x Area of one triangle
Total area = 27 square cm + 2 x 3 square cm = 27 square cm + 6 square cm = 33 square centimeters
Therefore, the total area of the piece of jewelry is 33 square centimeters.
Answer: 33 square centimeters