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 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 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
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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 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 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
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Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the correct scale drawing of the playground based on the original rectangle that is 8 units long and 4 units wide (with a scale of 1 box = 5 meters), we first need to determine the dimensions in meters:
1. The original dimensions in meters are:
- Length: \( 8 \text{ units} \times 5 \text{ meters/unit} = 40 \text{ meters} \)
- Width: \( 4 \text{ units} \times 5 \text{ meters/unit} = 20 \text{ meters} \)
Next, we want to convert these dimensions into the new scale where 1 box = 20 meters:
2. To find out how many boxes are needed:
- New length: \( 40 \text{ meters} \div 20 \text{ meters/box} = 2 \text{ boxes} \)
- New width: \( 20 \text{ meters} \div 20 \text{ meters/box} = 1 \text{ box} \)
Thus, the dimensions of the new rectangle should be 2 units long and 1 unit wide on the new scale.
Now let’s review the given options:
1. **Rectangle 2 units long and 1 unit wide** - matches the dimensions calculated.
2. **Rectangle 6 units long and 3 units wide** - does not match (this would correspond to 120 meters by 60 meters).
3. **Rectangle 3 units long and 2 units wide** - does not match (this would correspond to 60 meters by 40 meters).
4. **Rectangle 16 units long and 8 units wide** - does not match (this would correspond to 320 meters by 160 meters).
Based on this, the correct answer is the rectangle that is **2 units long and 1 unit wide** with the scale of 1 box = 20 meters.
1. The original dimensions in meters are:
- Length: \( 8 \text{ units} \times 5 \text{ meters/unit} = 40 \text{ meters} \)
- Width: \( 4 \text{ units} \times 5 \text{ meters/unit} = 20 \text{ meters} \)
Next, we want to convert these dimensions into the new scale where 1 box = 20 meters:
2. To find out how many boxes are needed:
- New length: \( 40 \text{ meters} \div 20 \text{ meters/box} = 2 \text{ boxes} \)
- New width: \( 20 \text{ meters} \div 20 \text{ meters/box} = 1 \text{ box} \)
Thus, the dimensions of the new rectangle should be 2 units long and 1 unit wide on the new scale.
Now let’s review the given options:
1. **Rectangle 2 units long and 1 unit wide** - matches the dimensions calculated.
2. **Rectangle 6 units long and 3 units wide** - does not match (this would correspond to 120 meters by 60 meters).
3. **Rectangle 3 units long and 2 units wide** - does not match (this would correspond to 60 meters by 40 meters).
4. **Rectangle 16 units long and 8 units wide** - does not match (this would correspond to 320 meters by 160 meters).
Based on this, the correct answer is the rectangle that is **2 units long and 1 unit wide** with the scale of 1 box = 20 meters.
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