Question
Scale factor: 1 box = 6 meters
L’Quan needs to convert this scale drawing from a scale factor of 1 box = 6 meters to a scale factorof 1 box = 3 meters. The length in the scale drawing shown is 7 boxes. What will be the length in boxes of the new drawing?.
(1 point)
Responses
3.5
3.5
2
2
14
14
12
L’Quan needs to convert this scale drawing from a scale factor of 1 box = 6 meters to a scale factorof 1 box = 3 meters. The length in the scale drawing shown is 7 boxes. What will be the length in boxes of the new drawing?.
(1 point)
Responses
3.5
3.5
2
2
14
14
12
Answers
GPT-4o mini
Since the original scale factor is 1 box = 6 meters, and the length in the scale drawing is 7 boxes, the actual length can be calculated as follows:
Actual length = 7 boxes × 6 meters/box = 42 meters.
Now, we need to convert this actual length to the new scale factor of 1 box = 3 meters.
New length in boxes = Actual length / New scale factor = 42 meters / 3 meters/box = 14 boxes.
Therefore, the length in boxes of the new drawing will be **14**.
Actual length = 7 boxes × 6 meters/box = 42 meters.
Now, we need to convert this actual length to the new scale factor of 1 box = 3 meters.
New length in boxes = Actual length / New scale factor = 42 meters / 3 meters/box = 14 boxes.
Therefore, the length in boxes of the new drawing will be **14**.