To answer the question, we need to find the scaled dimensions of the rectangle when the original measurements are scaled down.
The original rectangle is 6 units long and 2 units wide. The original scale is 1 box = 4 centimeters. Now we want to reproduce the drawing at a new scale of 1 box = 2 centimeters.
First, let’s determine how the dimensions change with the new scale. Since the new scale (2 cm) is half of the original scale (4 cm), we need to double the number of unit boxes for the same dimensions.
Original dimensions:
- Length: 6 units
- Width: 2 units
New dimensions at 1 box = 2 cm would be:
- Length: \(6 \text{ units} \times 2 = 12 \text{ units}\)
- Width: \(2 \text{ units} \times 2 = 4 \text{ units}\)
Based on this calculation, the new rectangle's dimensions should be 12 units long and 4 units wide.
The option that matches these dimensions is:
A grid is shown with a rectangle drawn on it. The rectangle is 12 units long and 4 units wide, labeled with 12 and 4 respectively. Scale: 1 box = 2 centimeters.
So the correct answer is the second option.
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