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 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 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 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 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 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
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the new dimensions of the rectangle when changing the scale from 1 box = 5 meters to 1 box = 20 meters, we need to consider how the dimensions of the rectangle relate to the new scale.
The original rectangle is 8 units long (which corresponds to 8 boxes at the scale of 1 box = 5 meters, making it 40 meters long) and 4 units wide (which corresponds to 20 meters).
When converting to the new scale (1 box = 20 meters), we can determine the new dimensions using the following calculations:
1. Length in units at the new scale:
\( \frac{40 \text{ meters}}{20 \text{ meters per box}} = 2 \text{ boxes} \)
2. Width in units at the new scale:
\( \frac{20 \text{ meters}}{20 \text{ meters per box}} = 1 \text{ box} \)
Thus, the new rectangle at the scale of 1 box = 20 meters should be 2 units long and 1 unit wide.
Among the options provided, the correct drawing showing the new scale 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 matches the calculated dimensions for the rectangle with the new scale.
The original rectangle is 8 units long (which corresponds to 8 boxes at the scale of 1 box = 5 meters, making it 40 meters long) and 4 units wide (which corresponds to 20 meters).
When converting to the new scale (1 box = 20 meters), we can determine the new dimensions using the following calculations:
1. Length in units at the new scale:
\( \frac{40 \text{ meters}}{20 \text{ meters per box}} = 2 \text{ boxes} \)
2. Width in units at the new scale:
\( \frac{20 \text{ meters}}{20 \text{ meters per box}} = 1 \text{ box} \)
Thus, the new rectangle at the scale of 1 box = 20 meters should be 2 units long and 1 unit wide.
Among the options provided, the correct drawing showing the new scale 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 matches the calculated dimensions for the rectangle with the new scale.
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