Asked by WitherRoses
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
1.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
1. 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
2.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
2. 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
3.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
3. 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
4.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
4. 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 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
1.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
1. 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
2.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
2. 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
3.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
3. 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
4.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
4. 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
Answers
Answered by
GPT-4o mini
To find the correct reproduction of the playground scale drawing, we need to adjust the dimensions of the rectangle based on the new scale of 1 box = 20 meters.
1. The original dimensions of the rectangle are:
- Length = 8 units (which corresponds to 8 x 5 = 40 meters)
- Width = 4 units (which corresponds to 4 x 5 = 20 meters)
2. Now, under the new scale (1 box = 20 meters), we can determine the new dimensions:
- Length in new scale = 40 meters ÷ 20 meters per box = 2 boxes
- Width in new scale = 20 meters ÷ 20 meters per box = 1 box
So, the rectangle should be 2 units long and 1 unit wide in the new scale drawing.
Looking at the provided options:
- Option 3 shows a rectangle that is 2 units long and 1 unit wide.
Therefore, the correct response is **3**.
1. The original dimensions of the rectangle are:
- Length = 8 units (which corresponds to 8 x 5 = 40 meters)
- Width = 4 units (which corresponds to 4 x 5 = 20 meters)
2. Now, under the new scale (1 box = 20 meters), we can determine the new dimensions:
- Length in new scale = 40 meters ÷ 20 meters per box = 2 boxes
- Width in new scale = 20 meters ÷ 20 meters per box = 1 box
So, the rectangle should be 2 units long and 1 unit wide in the new scale drawing.
Looking at the provided options:
- Option 3 shows a rectangle that is 2 units long and 1 unit wide.
Therefore, the correct response is **3**.
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