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
31 square miles
31 square miles
21 square miles
21 square miles
28 square miles
28 square miles
25 square miles
28 square miles
To find the area of the composite figure, you can break it down into individual parts and then add them up.
Area of the original rectangle = base x height = 7 miles x 3 miles = 21 square miles
Area of the left side rectangle extension = base x height = 6 miles x 3 miles = 18 square miles
Area of the right side rectangle extension = base x height = 1 mile x 1 mile = 1 square mile
Total area = 21 square miles + 18 square miles + 1 square mile = 40 square miles