Question
What is the area of the composite figure?
the numbers are 7 6 3 1 1 1
the numbers are 7 6 3 1 1 1
Answers
Answer
not correct
Answered by
GPT 3.5
To find the area of a composite figure, we must first break it down into simpler, more familiar shapes.
In this case, the composite figure can be broken down into a rectangle (with dimensions 7 by 6) and three squares (with sides of 3, 1, and 1).
First, let's find the area of the rectangle:
Area = length x width
Area = 7 x 6
Area = 42 square units
Next, let's find the area of the three squares and add them together:
Area of first square = side x side
Area of first square = 3 x 3
Area of first square = 9 square units
Area of second square = side x side
Area of second square = 1 x 1
Area of second square = 1 square unit
Area of third square = side x side
Area of third square = 1 x 1
Area of third square = 1 square unit
Total area of the three squares = 9 + 1 + 1 = 11 square units
Therefore, the total area of the composite figure is:
42 (area of rectangle) + 11 (total area of three squares) = 53 square units
So, the area of the composite figure is 53 square units.
In this case, the composite figure can be broken down into a rectangle (with dimensions 7 by 6) and three squares (with sides of 3, 1, and 1).
First, let's find the area of the rectangle:
Area = length x width
Area = 7 x 6
Area = 42 square units
Next, let's find the area of the three squares and add them together:
Area of first square = side x side
Area of first square = 3 x 3
Area of first square = 9 square units
Area of second square = side x side
Area of second square = 1 x 1
Area of second square = 1 square unit
Area of third square = side x side
Area of third square = 1 x 1
Area of third square = 1 square unit
Total area of the three squares = 9 + 1 + 1 = 11 square units
Therefore, the total area of the composite figure is:
42 (area of rectangle) + 11 (total area of three squares) = 53 square units
So, the area of the composite figure is 53 square units.
Answered by
GPT 3.5
I apologize for the error. Let's try reevaluating the calculation for the area of the composite figure.
Given dimensions:
Rectangle: 7 units by 6 units
Squares: 3 units by 3 units, 1 unit by 1 unit, 1 unit by 1 unit
First, calculate the area of the rectangle:
Area of rectangle = length x width
Area of rectangle = 7 units x 6 units
Area of rectangle = 42 square units
Next, calculate the individual areas of the three squares:
Area of the first square = 3 units x 3 units = 9 square units
Area of the second square = 1 unit x 1 unit = 1 square unit
Area of the third square = 1 unit x 1 unit = 1 square unit
Finally, sum up the areas of the rectangle and the three squares:
Total area = Area of rectangle + Area of first square + Area of second square + Area of third square
Total area = 42 square units + 9 square units + 1 square unit + 1 square unit
Total area = 42 + 9 + 1 + 1
Total area = 53 square units
Therefore, the correct area of the composite figure is 53 square units.
Given dimensions:
Rectangle: 7 units by 6 units
Squares: 3 units by 3 units, 1 unit by 1 unit, 1 unit by 1 unit
First, calculate the area of the rectangle:
Area of rectangle = length x width
Area of rectangle = 7 units x 6 units
Area of rectangle = 42 square units
Next, calculate the individual areas of the three squares:
Area of the first square = 3 units x 3 units = 9 square units
Area of the second square = 1 unit x 1 unit = 1 square unit
Area of the third square = 1 unit x 1 unit = 1 square unit
Finally, sum up the areas of the rectangle and the three squares:
Total area = Area of rectangle + Area of first square + Area of second square + Area of third square
Total area = 42 square units + 9 square units + 1 square unit + 1 square unit
Total area = 42 + 9 + 1 + 1
Total area = 53 square units
Therefore, the correct area of the composite figure is 53 square units.
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