Use the image to answer the 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
31 square miles
31 square miles
28 square miles
28 square miles
25 square miles
The area of the composite figure can be calculated by finding the area of each individual rectangle and then adding them together.
Area of the original rectangle: 7 miles * 3 miles = 21 square miles
Area of the left side extension: 6 miles * 3 miles = 18 square miles
Area of the right side extension: 1 mile * 1 mile = 1 square mile
Total area = 21 square miles (original rectangle) + 18 square miles (left side extension) + 1 square mile (right side extension) = 40 square miles
Since there are right angle symbols at the vertices of the polygon, the area will be half of the above calculated area.
Therefore, the correct answer is:
(21 square miles + 18 square miles + 1 square mile) / 2 = 20 square miles.
The closest option is 21 square miles.