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
25 square miles
The area of the composite figure can be found by calculating the area of each individual rectangle and then adding them together.
The area of the larger rectangle is 7 miles x 6 miles = 42 square miles.
The area of the left side rectangular extension is 1/2 x 6 miles x 3 miles = 9 square miles.
The area of the right side rectangular extension is 1 mile x 1 mile = 1 square mile.
Adding all three areas together: 42 square miles + 9 square miles + 1 square mile = 52 square miles.
Therefore, the area of the composite figure is 52 square miles.
None of the provided options match this calculation.