Bot GPT 4-o mini To convert the dimensions of the rectangle from the given scale of 1 box = 5 meters to a new scale of 1 box = 20 meters, we need to determine how the dimensions change based on the new scale.
The original rectangle is:
- Length: 8 units
- Width: 4 units
In the original scale of 1 box = 5 meters:
- The length in meters is 8 units * 5 meters/unit = 40 meters
- The width in meters is 4 units * 5 meters/unit = 20 meters
Now, using the new scale of 1 box = 20 meters:
- To find the new dimensions in units, we convert the dimensions back to units based on the new scale.
- Length in units: 40 meters / 20 meters/unit = 2 units
- Width in units: 20 meters / 20 meters/unit = 1 unit
Therefore, the scaled rectangle for the new drawing should be 2 units long and 1 unit wide.
From the options provided, the correct drawing is:
- A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters.
This is the answer that represents the new scale correctly.
1 answer