To convert the scale drawing from a scale factor of 1 box = 6 meters to a scale factor of 1 box = 3 meters, we need to understand the relationship between the two scales.
- Original Scale: 1 box = 6 meters
- New Scale: 1 box = 3 meters
Now, let's determine how many meters the penguin represents in the original drawing:
- The penguin measures 7 boxes.
- At the original scale, this would be: \[ 7 \text{ boxes} \times 6 \text{ meters/box} = 42 \text{ meters} \]
Now, we need to find out how many boxes this length would represent in the new scale (1 box = 3 meters):
- Using the new scale, we can convert the 42 meters back to boxes: \[ \text{Number of boxes} = \frac{42 \text{ meters}}{3 \text{ meters/box}} = 14 \text{ boxes} \]
Thus, in the new drawing, the penguin will be 14 boxes long.