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.

Question

What is the area of the composite figure?

31 square miles

25 square miles

28 square miles

21 square miles

Answer 1

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 main rectangle:
7 miles (bottom) x 3 miles (height) = 21 square miles

Area of the left side rectangle:
6 miles (side) x 3 miles (height) = 18 square miles

Area of the right side rectangle:
1 mile (side) x 1 mile (height) = 1 square mile

Total area:
21 square miles (main rectangle) + 18 square miles (left side rectangle) + 1 square mile (right side rectangle) = 40 square miles

Therefore, the correct answer is not listed. The area of the composite figure is actually 40 square miles.