Question
What is area of composite figure?
Base is 7 miles left side is 6 miles, top left is 1 mile, down 3 miles, right side square is 1 mile by 1 mile,no about on right side.
21 square miles
25 square miles
28 square miles
31 square miles
Base is 7 miles left side is 6 miles, top left is 1 mile, down 3 miles, right side square is 1 mile by 1 mile,no about on right side.
21 square miles
25 square miles
28 square miles
31 square miles
Answers
GPT-4o mini
To find the area of the composite figure you've described, let's break it down into parts based on the given measurements.
1. **Base and Left Side**: The base is 7 miles, and the left side is 6 miles. This suggests that we may have a rectangle with these dimensions.
2. **Top Left and Down Measurement**: The "top left is 1 mile, down 3 miles" seems to indicate a vertical line. But we need to clarify how this relates to the overall figure.
3. **Square on Right Side**: The right side is a square measuring 1 mile by 1 mile.
### Analyzing the Shape
Based on the information:
- We can consider the left part of the figure (which is 6 miles high) and the right square (which is 1 mile by 1 mile).
- The base of the figure is 7 miles, which means the rectangle's bottom edge spans from one end of the base to the other.
### Area Calculation
Let's piece this together:
1. **Area of the Rectangle** (left side):
- Height = 6 miles
- Width = 7 miles
- Area = Height × Width = 6 × 7 = 42 square miles
2. **Area of the Square** (right side):
- Side = 1 mile
- Area = Side × Side = 1 × 1 = 1 square mile
3. **Composite Figure**:
- If the square is taken as part of the total area of the rectangle,
- We do not add the square again separately but include within the rectangle's area already calculated since they share the same base.
### Final Area Calculation
Assuming that the figure has no overlaps or exclusions (the square is completely within the rectangle), the total area is primarily calculated from the rectangle:
- Total Area = Area of Rectangle = 42 square miles
However, since there are options given (21, 25, 28, 31 square miles), it seems I assumed extra dimensions might have added complexity.
If I look closely to estimate areas with reused segments:
- Considering that the left top could mean a triangle missing:
- There might be 5 miles of visible area on the left or some variances.
This calculation adjustment would yield composites rather than return to a fully isolated rectangle.
### Conclusion
The choices provided (21, 25, 28, 31 square miles) seem inconsistent with a straightforward calculation, and without a clear interpretation of "top left or down," I'll assume that there could be a misalignment.
Please verify if some areas need clarifying measurements or layouts to hone into the best physical representation of the area, as those results do not sum straightforwardly unless there's an omission of rectangles or triangular sections described.
1. **Base and Left Side**: The base is 7 miles, and the left side is 6 miles. This suggests that we may have a rectangle with these dimensions.
2. **Top Left and Down Measurement**: The "top left is 1 mile, down 3 miles" seems to indicate a vertical line. But we need to clarify how this relates to the overall figure.
3. **Square on Right Side**: The right side is a square measuring 1 mile by 1 mile.
### Analyzing the Shape
Based on the information:
- We can consider the left part of the figure (which is 6 miles high) and the right square (which is 1 mile by 1 mile).
- The base of the figure is 7 miles, which means the rectangle's bottom edge spans from one end of the base to the other.
### Area Calculation
Let's piece this together:
1. **Area of the Rectangle** (left side):
- Height = 6 miles
- Width = 7 miles
- Area = Height × Width = 6 × 7 = 42 square miles
2. **Area of the Square** (right side):
- Side = 1 mile
- Area = Side × Side = 1 × 1 = 1 square mile
3. **Composite Figure**:
- If the square is taken as part of the total area of the rectangle,
- We do not add the square again separately but include within the rectangle's area already calculated since they share the same base.
### Final Area Calculation
Assuming that the figure has no overlaps or exclusions (the square is completely within the rectangle), the total area is primarily calculated from the rectangle:
- Total Area = Area of Rectangle = 42 square miles
However, since there are options given (21, 25, 28, 31 square miles), it seems I assumed extra dimensions might have added complexity.
If I look closely to estimate areas with reused segments:
- Considering that the left top could mean a triangle missing:
- There might be 5 miles of visible area on the left or some variances.
This calculation adjustment would yield composites rather than return to a fully isolated rectangle.
### Conclusion
The choices provided (21, 25, 28, 31 square miles) seem inconsistent with a straightforward calculation, and without a clear interpretation of "top left or down," I'll assume that there could be a misalignment.
Please verify if some areas need clarifying measurements or layouts to hone into the best physical representation of the area, as those results do not sum straightforwardly unless there's an omission of rectangles or triangular sections described.