Use the image to answer the question. 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)
the original shape's width is 4, and the length is 8
In the original scale drawing, the width of the playground is represented by 4 boxes and the length is represented by 8 boxes. To create a new scale drawing with a scale of 1 box = 20 meters, we need to increase the length and width of the playground in the new drawing.
To do this, we can multiply the length and width of the original drawing by the ratio of the new scale over the original scale.
The original scale is 1 box = 5 meters, and the new scale is 1 box = 20 meters.
So, the new length will be 8 boxes * (20 meters/5 meters) = 8 boxes * 4 = 32 boxes.
And the new width will be 4 boxes * (20 meters/5 meters) = 4 boxes * 4 = 16 boxes.
Therefore, the new scale drawing of the playground will have a width of 16 boxes and a length of 32 boxes.
Unfortunately, there is no image provided to determine which drawing shows the new scale.
the answers are:
width 1, length 2
width 2, length 3
width 8, length 16
width 3, length 6
To find the correct drawing that shows the new scale (1 box = 20 meters), we need to compare the widths and lengths of the choices with the calculations we made.
According to our calculations:
- The new width should be 16 boxes (because 4 boxes * (20 meters/5 meters) = 16 boxes).
- The new length should be 32 boxes (because 8 boxes * (20 meters/5 meters) = 32 boxes).
Comparing the calculations with the given choices:
- Choice 1: Width 1, Length 2 - This choice does not match our calculated new width or length.
- Choice 2: Width 2, Length 3 - This choice does not match our calculated new width or length.
- Choice 3: Width 8, Length 16 - This choice matches our calculated new width and length, so it is the correct drawing for the new scale.
- Choice 4: Width 3, Length 6 - This choice does not match our calculated new width or length.
Therefore, the correct drawing that shows the new scale (1 box = 20 meters) is Choice 3 with a width of 8 and a length of 16.
Use the image to answer the question. 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)
the original shape's width is 4, and the length is 8
The answers are:
width 1, length 2
width 2, length 3
width 8, length 16
width 3, length 6
Apologies for the confusion. In that case, let's reassess the given options based on the information provided.
According to the original scale of 1 box = 5 meters:
- The original width of 4 represents 4 boxes * 5 meters/box = 20 meters.
- The original length of 8 represents 8 boxes * 5 meters/box = 40 meters.
Now, we need to reproduce the scale drawing with a scale of 1 box = 20 meters.
Considering the options provided:
- Choice 1: Width 1, Length 2 - This option does not match the original width of 20 meters or the original length of 40 meters.
- Choice 2: Width 2, Length 3 - This option also does not match the original dimensions.
- Choice 3: Width 8, Length 16 - This option matches the original dimensions, with a width of 20 meters (8 boxes * 20 meters/box = 160 meters) and a length of 40 meters (16 boxes * 20 meters/box = 320 meters).
- Choice 4: Width 3, Length 6 - This option does not align with the original or new scale dimensions.
Based on the calculations and comparisons, the drawing that shows the new scale of 1 box = 20 meters is Choice 3, with a width of 8 and a length of 16.