To reproduce the original drawing (where 1 box = 4 centimeters) using a new scale of 1 box = 2 centimeters, we need to adjust the dimensions accordingly.
- Original dimensions: Length = 12 units (which equals 48 cm), Width = 4 units (which equals 16 cm)
- New scale of 1 box = 2 centimeters means we need to convert the original dimensions into the new scale.
To convert from the original scale to the new scale:
- Length in new scale = (48 cm / 2 cm per box) = 24 boxes
- Width in new scale = (16 cm / 2 cm per box) = 8 boxes
So, the new dimensions will be 24 boxes long and 8 boxes wide.
Now, looking at the options provided:
- Option 1: Rectangle is 12 units long and 4 units wide. (This would correspond to 48 cm by 16 cm using the original scale.)
- Option 2: Rectangle is 3 units long and 1 unit wide.
- Option 3: Rectangle is 12 units long and 2 units wide.
- Option 4: Rectangle is 6 units long and 3 units wide.
None of these options match the required dimensions of 24 boxes (12 + 12) long and 8 boxes (4 + 4) wide that need to be drawn according to the new scale.
It seems like all provided options might represent incorrect dimensions or a misunderstanding in the scaling process. Please double-check your original dimensions to ensure that you can adjust them accordingly to meet the new scale criteria.