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?

Answer 1

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.