Area of Composite Figures Practice
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Question
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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
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wrong
I apologize for the error. Let me recalculate.
To find the total area of the composite figure, we need to calculate the area of each individual rectangle and then subtract the overlap area (the small rectangle inside the larger rectangle).
1. Area of the larger rectangle:
Length = 5
Width = 4
Area = Length x Width = 5 x 4 = 20 square units
2. Area of the smaller rectangle:
Length = 3
Width = 2
Area = Length x Width = 3 x 2 = 6 square units
Now, calculate the overlap area by subtracting the area of the smaller rectangle from the total area of the larger rectangle:
Overlap Area = Area of larger rectangle - Area of smaller rectangle
Overlap Area = 20 - 6 = 14 square units
Finally, add the area of the smaller rectangle to the overlap area to find the total area of the composite figure:
Total Area = Area of smaller rectangle + Overlap Area
Total Area = 6 + 14 = 20 square units
Therefore, the correct area of the composite figure is 20 square units. Thank you for your patience.
To find the total area of the composite figure, we need to calculate the area of each individual rectangle and then add them together.
1. Area of the larger rectangle:
Length = 5
Width = 4
Area = Length x Width = 5 x 4 = 20 square units
2. Area of the smaller rectangle:
Length = 3
Width = 2
Area = Length x Width = 3 x 2 = 6 square units
Now, add the areas of the two rectangles together to find the total area of the composite figure:
Total Area = Area of larger rectangle + Area of smaller rectangle
Total Area = 20 + 6 = 26 square units
Therefore, the area of the composite figure is 26 square units.