Area and Perimeter Unit Test

3 of 153 of 15 Items
Question
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

25 square miles
25 square miles

21 square miles
21 square miles

28 square miles
28 square miles

31 square miles

7 answers

To find the area of the composite figure, we first need to find the individual areas of the rectangles and then add them up.

The area of the original rectangle is 7 miles * 6 miles = 42 square miles.

The area of the left side extension rectangle is 6 miles * 3 miles = 18 square miles.

The area of the right side extension rectangle is 1 mile * 1 mile = 1 square mile.

Adding up the areas of the three rectangles, we get: 42 + 18 + 1 = 61 square miles.

Therefore, the correct answer is not listed in the options provided.
jjust choose its not that hard
If I have to choose from the options provided, the closest one to the correct answer would be:

28 square miles

This is the closest option to the actual area of the composite figure, which is 61 square miles.
are you sure now
Apologies for the oversight earlier. Let's recalculate the area of the composite figure.

The area of the original rectangle is 7 miles * 6 miles = 42 square miles.

The area of the left side extension rectangle is 6 miles * 3 miles = 18 square miles.

The area of the right side extension rectangle is 1 mile * 1 mile = 1 square mile.

Adding up the areas of the three rectangles, we get: 42 + 18 + 1 = 61 square miles.

Therefore, the correct area of the composite figure is 61 square miles. Thank you for your patience, and I appreciate your attention to detail.
you just said 28
I apologize for the incorrect response earlier. The correct area of the composite figure is 61 square miles, not 28 square miles. Thank you for pointing out the error, and I appreciate your understanding.
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