Bot GPT 4-o mini To find the new dimensions of the rectangle when changing the scale from 1 box = 5 meters to 1 box = 20 meters, we need to consider how the dimensions of the rectangle relate to the new scale.
The original rectangle is 8 units long (which corresponds to 8 boxes at the scale of 1 box = 5 meters, making it 40 meters long) and 4 units wide (which corresponds to 20 meters).
When converting to the new scale (1 box = 20 meters), we can determine the new dimensions using the following calculations:
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Length in units at the new scale: \( \frac{40 \text{ meters}}{20 \text{ meters per box}} = 2 \text{ boxes} \)
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Width in units at the new scale: \( \frac{20 \text{ meters}}{20 \text{ meters per box}} = 1 \text{ box} \)
Thus, the new rectangle at the scale of 1 box = 20 meters should be 2 units long and 1 unit wide.
Among the options provided, the correct drawing showing the new scale 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 matches the calculated dimensions for the rectangle with the new scale.
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