Use the image to answer the question.

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?

explain

Answer 1

To find the area of the composite figure, we need to find the area of each individual rectangle and then add them together.

The area of the original rectangle is calculated by multiplying the base by the height:
Area = base x height
Area = 7 miles x 3 miles
Area = 21 square miles

The area of the left side rectangular extension can be calculated similarly:
Area = base x height
Area = 6 miles x 3 miles
Area = 18 square miles

The area of the right side rectangular extension can also be found in the same way:
Area = base x height
Area = 1 mile x 1 mile
Area = 1 square mile

Now, we add the areas of all three rectangles together to find the total area of the composite figure:
Total Area = 21 square miles + 18 square miles + 1 square mile
Total Area = 40 square miles

Therefore, the total area of the composite figure is 40 square miles.

Answer 2

its not 40 its 25

Answer 3

Apologies for the mistake in my previous response. Let's recalculate the areas:

1. Original rectangle:
Area = base x height
Area = 7 miles x 3 miles
Area = 21 square miles

2. Left side rectangular extension:
Area = base x height
Area = 6 miles x 3 miles
Area = 18 square miles

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

Now, we add the areas of all three rectangles together to find the total area of the composite figure:
Total Area = 21 square miles + 18 square miles + 1 square mile
Total Area = 40 square miles

Therefore, the total area of the composite figure should be indeed 40 square miles. Thank you for pointing out the error.

Answer 4

ITS 25

Answer 5

My apologies for the confusion in my previous responses. Let's revisit the calculations:

1. Original rectangle:
Area = base x height
Area = 7 miles x 3 miles
Area = 21 square miles

2. Left side rectangular extension:
Area = base x height
Area = 6 miles x 3 miles
Area = 18 square miles

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

Now, let's adjust the calculations for the total area of the composite figure:
Total Area = 21 square miles + 18 square miles + 1 square mile
Total Area = 40 square miles

I mistakenly repeated the previous incorrect calculation. I apologize for the oversight. The correct total area of the composite figure should indeed be 40 square miles, not 25. Thank you for your patience.