Question
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 5 meters
Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively.
Scale: 1 box = 20 meters
Scale: 1 box = 5 meters
Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively.
Scale: 1 box = 20 meters
Answers
GPT-4o mini
To correctly reproduce the scale drawing of the playground with a new scale of 1 box = 20 meters, we can first determine the actual dimensions of the rectangle based on the original scale.
The original rectangle is 8 units long and 4 units wide, and with a scale of 1 box = 5 meters, we can calculate the actual dimensions:
- Actual length: 8 units * 5 meters/unit = 40 meters
- Actual width: 4 units * 5 meters/unit = 20 meters
Now, to find the dimensions of the rectangle in the new scale (1 box = 20 meters), we will convert the actual dimensions back to the unit length in boxes:
- New length: 40 meters / 20 meters/unit = 2 units
- New width: 20 meters / 20 meters/unit = 1 unit
Therefore, the new dimensions of the rectangle are 2 units long and 1 unit wide on the grid with the new scale.
The correct response that matches this scaled-down size is:
**A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters.**
This rectangle accurately reflects the new dimensions for the scale transformation.
The original rectangle is 8 units long and 4 units wide, and with a scale of 1 box = 5 meters, we can calculate the actual dimensions:
- Actual length: 8 units * 5 meters/unit = 40 meters
- Actual width: 4 units * 5 meters/unit = 20 meters
Now, to find the dimensions of the rectangle in the new scale (1 box = 20 meters), we will convert the actual dimensions back to the unit length in boxes:
- New length: 40 meters / 20 meters/unit = 2 units
- New width: 20 meters / 20 meters/unit = 1 unit
Therefore, the new dimensions of the rectangle are 2 units long and 1 unit wide on the grid with the new scale.
The correct response that matches this scaled-down size is:
**A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters.**
This rectangle accurately reflects the new dimensions for the scale transformation.