Area and Perimeter Unit Test

Question

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

Answer 1

To find the total area of the piece of jewelry, we first need to find the area of each individual shape.

The rectangle has a length of 9 cm and a width of 3 cm, so its area is 9 cm * 3 cm = 27 square cm.

Each triangle has a base length of 2 cm and a height of 3 cm (since the height of the rectangle is 3 cm), 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 of the two triangles is 2 triangles * 3 square cm = 6 square cm.

Adding the area of the rectangle and the two 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.

So, the correct response is:

33 square centimeters