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
Scale: 1 box = 5 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 = 5 feet
Scale: 1 box = 5 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 = 5 feet
Scale: 1 box = 5 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 = 5 feet
Scale: 1 box = 5 feet
Image with alt text: 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
To determine the new scale drawing, we need to change the scale from 1 box = 5 feet to 1 box = 10 feet.
The current scale drawing is described as follows:
- Rectangle dimensions: 16 units long and 12 units wide
- Scale: 1 box = 5 feet
To reproduce the scale drawing with a new scale of 1 box = 10 feet, we need to adjust the dimensions of the rectangle accordingly.
To do this, we can use the concept of ratios. Since the new scale is double the old scale (10 feet compared to 5 feet), we need to double the dimensions of the rectangle as well.
By applying the ratio of the new scale to the old scale (1:2), we can determine the new dimensions of the rectangle:
- Length: 16 units * 2 = 32 units
- Width: 12 units * 2 = 24 units
Now, let's go through the options given to find the scale drawing that matches the new dimensions:
Option 1: Rectangle dimensions are 16 units long and 12 units wide, which is the same as the current dimensions. Therefore, it does not match the new scale.
Option 2: Rectangle dimensions are 4 units long and 3 units wide. This does not match the new dimensions either.
Option 3: Rectangle dimensions are 6 units long and 3 units wide. Again, this does not match the new dimensions.
At this point, it seems like the correct answer is missing. Therefore, the correct scale drawing is not provided in the given options.
The correct response would be:
Image with alt text: 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 = 10 feet
Scale factor: 1 box = 6 inches
Maisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?
(1 point)
Responses
12
12
5
5
1
1
20
To convert the scale factor from 1 box = 6 inches to 1 box = 12 inches, we need to double the length of each box.
In the given scale drawing, the length is represented by 10 boxes. To find the length of the boxes in the new drawing, we need to multiply 10 boxes by the conversion factor of 2.
10 boxes * 2 = 20
Therefore, the length of the boxes in the new drawing will be 20.
The correct response is:
20