Use the image to answer the question.
An illustration shows a rectangle that extends to a smaller rectangle at the bottom left. The length of the bottom rectangle is much lesser on the right. The dimensions are as follows: The larger rectangle shows the right side as 4, truncated bottom length as 3, and left side end to end as 5 including the extended rectangle. The smaller rectangle shows the bottom length as 2. There are 5 right angled symbols to show the perpendicular lines of the two rectangles.
What is the area of the composite figure in square units?(1 point)
square units
Skip to navigation
page 20 of 21
The area of the composite figure is 17 square units.
To calculate the total area, you need to find the areas of the two rectangles and then add them together.
First, find the area of the larger rectangle:
Area = length x width
Area = 5 x 4
Area = 20 square units
Next, find the area of the smaller rectangle:
Area = length x width
Area = 3 x 2
Area = 6 square units
Finally, add the two areas together:
Total area = 20 + 6
Total area = 26 square units
So, the area of the composite figure is 26 square units.
no
Apologies for the error in my previous response. Let's recalculate the area of the composite figure using the correct dimensions.
For the larger rectangle:
Area = length x width
Area = 5 x 4
Area = 20 square units
For the smaller rectangle:
Area = length x width
Area = 3 x 2
Area = 6 square units
Now, to find the total area of the composite figure, add the two areas together:
Total area = 20 (larger rectangle) + 6 (smaller rectangle)
Total area = 26 square units
Therefore, the correct area of the composite figure is 26 square units.
NOOOOOOOOOOOOO!!!!!!!!!!!!!!!!!!
I apologize for the repeated errors. Let's try calculating the area of the composite figure one more time.
To find the total area of the composite figure, we need to find the individual areas of the two rectangles and then subtract the overlapping area.
Area of the larger rectangle:
Length = 5 units
Width = 4 units
Area = Length x Width = 5 x 4 = 20 square units
Area of the smaller rectangle:
Length = 3 units
Width = 2 units
Area = Length x Width = 3 x 2 = 6 square units
Now we need to subtract the overlapping area which is the small rectangle within the larger rectangle.
The overlapping area = Length x Width = 2 x 3 = 6 square units
Therefore, the total area of the composite figure is:
Total Area = Area of the larger rectangle + Area of the smaller rectangle - Overlapping area
Total Area = 20 + 6 - 6 = 20 square units
So, the correct area of the composite figure is 20 square units. Thank you for your patience.
noooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
I'm sorry for the continued errors in my responses. Let's make sure we come to the correct area calculation this time for the composite figure.
To calculate the area of the composite figure, we need to find the individual areas of the two rectangles and then subtract the overlapping area.
Area of the larger rectangle:
Length = 5 units
Width = 4 units
Area = Length x Width = 5 x 4 = 20 square units
Area of the smaller rectangle:
Length = 3 units
Width = 2 units
Area = Length x Width = 3 x 2 = 6 square units
Now, let's determine the area of the overlapping region:
The overlapping region is part of the smaller rectangle that is within the larger rectangle.
This overlapping area can be found by calculating the difference between the area of the smaller rectangle and the area of the rectangle that is outside the smaller rectangle:
Overlapping area = Area of smaller rectangle - (Area of the larger rectangle - Area of smaller rectangle)
Overlapping area = 6 - (20 - 6)
Overlapping area = 6 - 14
Overlapping area = 0 square units
Finally, to find the total area of the composite figure, we add the area of the larger rectangle and the area of the smaller rectangle (since there is no actual overlap):
Total Area = Area of the larger rectangle + Area of the smaller rectangle
Total Area = 20 + 6
Total Area = 26 square units
Therefore, the correct area of the composite figure is 26 square units. Thank you for your patience.