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.
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?
31 square miles
25 square miles
28 square miles
21 square miles
1 answer