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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

28 square miles
28 square miles

25 square miles
25 square miles

31 square miles
31 square miles

21 square miles

1 answer

To find the area of the composite figure, we first calculate the area of the main rectangle:

Area = base x height
Area = 7 miles x 3 miles
Area = 21 square miles

Next, we calculate the area of the two rectangular extensions:
Left side extension:
Area = base x height
Area = 1 mile x 3 miles
Area = 3 square miles

Right side extension:
Area = base x height
Area = 1 mile x 1 mile
Area = 1 square mile

Finally, we add up the areas of the main rectangle and the two extensions:
Total area = 21 square miles + 3 square miles + 1 square mile
Total area = 25 square miles

Therefore, the area of the composite figure is 25 square miles.