Use the image to answer the question.
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
31 square miles
31 square miles
28 square miles
28 square miles
25 square miles
25 square miles
21 square miles
21 square miles
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No its 25.
The bottom rectangle is 21
The small Square is 1
And a long rectangle is 3
21 + 1 + 3 = 25
The correct answer is 31 square miles.
To find the area of the composite figure, we need to find the areas of the individual rectangles and then add them up.
The area of the main rectangle is 7 miles x 3 miles = 21 square miles.
The area of the left side rectangle extension is 6 miles x 3 miles = 18 square miles.
The area of the right side rectangle extension is 1 mile x 1 mile = 1 square mile.
Adding these areas together: 21 square miles + 18 square miles + 1 square mile = 40 square miles.
However, since there are two right angle triangles (one on the left side and one on the right side), we need to subtract their combined area from the total: 40 square miles - 9 square miles = 31 square miles.
Therefore, the correct answer is 31 square miles.
Apologies for the mistake in my previous response.
You are correct, the correct area of the composite figure is 25 square miles. Thank you for pointing that out.