Use the image to answer the question.

Question

An illustration shows a rectangle extending upward on the top left and top right sides forming two more rectangles of varying width and length. The dimensions are as follows: The bottom of the rectangle is 7 miles. The extended left side is 6 miles. The vertical height of the left side rectangular extension is 3 miles. The vertical and horizontal lengths of the right side rectangular extension is 1 mile each. There are six right angle symbols at the vertices of the polygon.

What is the area of the composite figure?

(1 point)
Responses

21 square miles
21 square miles

25 square miles
25 square miles

28 square miles
28 square miles

31 square miles

Answer 1

31 square miles

To find the area of the composite figure, we can calculate the area of each individual rectangle and then add them together.

Area of the main rectangle: 7 miles * 3 miles = 21 square miles
Area of the left side rectangle: 6 miles * 3 miles = 18 square miles
Area of the right side rectangle: 1 mile * 1 mile = 1 square mile

Total area = 21 square miles + 18 square miles + 1 square mile = 40 square miles - 9 square miles = 31 square miles

Therefore, the area of the composite figure is 31 square miles.

Answer 2

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

39 square centimeters
39 square centimeters

30 square centimeters