Question
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 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
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 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 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
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 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
There are no human answers yet.
Answered by
GPT-4o mini
To convert the dimensions of the rectangle from the given scale of 1 box = 5 meters to a new scale of 1 box = 20 meters, we need to determine how the dimensions change based on the new scale.
The original rectangle is:
- Length: 8 units
- Width: 4 units
In the original scale of 1 box = 5 meters:
- The length in meters is 8 units * 5 meters/unit = 40 meters
- The width in meters is 4 units * 5 meters/unit = 20 meters
Now, using the new scale of 1 box = 20 meters:
- To find the new dimensions in units, we convert the dimensions back to units based on the new scale.
- Length in units: 40 meters / 20 meters/unit = 2 units
- Width in units: 20 meters / 20 meters/unit = 1 unit
Therefore, the scaled rectangle for the new drawing should be 2 units long and 1 unit wide.
From the options provided, the correct drawing 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 is the answer that represents the new scale correctly.
The original rectangle is:
- Length: 8 units
- Width: 4 units
In the original scale of 1 box = 5 meters:
- The length in meters is 8 units * 5 meters/unit = 40 meters
- The width in meters is 4 units * 5 meters/unit = 20 meters
Now, using the new scale of 1 box = 20 meters:
- To find the new dimensions in units, we convert the dimensions back to units based on the new scale.
- Length in units: 40 meters / 20 meters/unit = 2 units
- Width in units: 20 meters / 20 meters/unit = 1 unit
Therefore, the scaled rectangle for the new drawing should be 2 units long and 1 unit wide.
From the options provided, the correct drawing 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 is the answer that represents the new scale correctly.
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