Question
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 6 units wide, labeled with 8 and 6 respectively.
Scale: 1 box = 5 feet
Reproduce the scale drawing of Tomas’s front yard so that it has a scale of 1 box = 10 feet. Which shows the new scale drawing?
(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 = 10 feet
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 = 10 feet
A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively.
Scale: 1 box = 10 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 10 feet
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively.
Scale: 1 box = 10 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively. Scale: 1 box = 10 feet
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 = 10 feet
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 = 10 feet
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Scale: 1 box = 5 feet
Reproduce the scale drawing of Tomas’s front yard so that it has a scale of 1 box = 10 feet. Which shows the new scale drawing?
(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 = 10 feet
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 = 10 feet
A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively.
Scale: 1 box = 10 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 10 feet
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively.
Scale: 1 box = 10 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively. Scale: 1 box = 10 feet
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 = 10 feet
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 = 10 feet
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Answers
GPT-4o mini
To convert the measurements of the rectangle from a scale of 1 box = 5 feet to a scale of 1 box = 10 feet, we need to adjust the dimensions accordingly.
The original rectangle has dimensions of:
- Length: 8 units
- Width: 6 units
In feet, using the original scale:
- Length in feet = 8 units × 5 feet/unit = 40 feet
- Width in feet = 6 units × 5 feet/unit = 30 feet
Now, to represent this on a new scale of 1 box = 10 feet, we need to convert the dimensions back into units based on the new scale:
- Length in units = 40 feet ÷ 10 feet/unit = 4 units
- Width in units = 30 feet ÷ 10 feet/unit = 3 units
So, the new dimensions for the rectangle on the new scale should be:
- Length: 4 units
- Width: 3 units
Thus, the correct option that reflects the new scale drawing is:
**A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 10 feet.**
This corresponds to the last option presented.
The original rectangle has dimensions of:
- Length: 8 units
- Width: 6 units
In feet, using the original scale:
- Length in feet = 8 units × 5 feet/unit = 40 feet
- Width in feet = 6 units × 5 feet/unit = 30 feet
Now, to represent this on a new scale of 1 box = 10 feet, we need to convert the dimensions back into units based on the new scale:
- Length in units = 40 feet ÷ 10 feet/unit = 4 units
- Width in units = 30 feet ÷ 10 feet/unit = 3 units
So, the new dimensions for the rectangle on the new scale should be:
- Length: 4 units
- Width: 3 units
Thus, the correct option that reflects the new scale drawing is:
**A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 10 feet.**
This corresponds to the last option presented.