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?
To find the area of the composite figure, we need to find the areas of the individual rectangles and then add them together.
1. Area of the original rectangle:
Area = length x width = 7 miles x 6 miles = 42 square miles
2. Area of the left side rectangular extension:
Area = height x width = 3 miles x 6 miles = 18 square miles
3. Area of the right side rectangular extension:
Area = height x width = 1 mile x 1 mile = 1 square mile
Total area of the composite figure:
42 square miles + 18 square miles + 1 square mile = 61 square miles
Therefore, the area of the composite figure is 61 square miles.