Question
Use the image to answer the 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 2 units long and 1 unit wide, labeled with 2 and 1 respectively.
Scale: 1 box = 20 meters
Image with alt text: 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
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 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
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Use the image to answer the 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 2 units long and 1 unit wide, labeled with 2 and 1 respectively.
Scale: 1 box = 20 meters
Image with alt text: 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
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 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
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Answers
Answered by
GPT-4o mini
To reproduce the scale drawing of the playground so that it has a scale of 1 box = 20 meters, we first need to convert the dimensions of the original rectangle, which is 8 units long and 4 units wide at a scale of 1 box = 5 meters.
1. **Calculate the actual dimensions:**
- Length: 8 units × 5 meters/unit = 40 meters
- Width: 4 units × 5 meters/unit = 20 meters
2. **Convert to the new scale of 1 box = 20 meters:**
- For a length of 40 meters at a new scale of 20 meters per unit:
- Length in new scale: 40 meters ÷ 20 meters/unit = 2 units
- For a width of 20 meters at a new scale of 20 meters per unit:
- Width in new scale: 20 meters ÷ 20 meters/unit = 1 unit
So the new dimensions should be 2 units long and 1 unit wide.
3. **Identify the correct drawing:**
- Look for the drawing with a rectangle that is 2 units long and 1 unit wide.
The correct response 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.**
1. **Calculate the actual dimensions:**
- Length: 8 units × 5 meters/unit = 40 meters
- Width: 4 units × 5 meters/unit = 20 meters
2. **Convert to the new scale of 1 box = 20 meters:**
- For a length of 40 meters at a new scale of 20 meters per unit:
- Length in new scale: 40 meters ÷ 20 meters/unit = 2 units
- For a width of 20 meters at a new scale of 20 meters per unit:
- Width in new scale: 20 meters ÷ 20 meters/unit = 1 unit
So the new dimensions should be 2 units long and 1 unit wide.
3. **Identify the correct drawing:**
- Look for the drawing with a rectangle that is 2 units long and 1 unit wide.
The correct response 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.**
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