To find the area of the reduced rectangle, we first need to apply the scale factor to the dimensions of the original rectangle.
The original rectangle has:
- Length = 15
- Width = 12
The scale factor is \(\frac{1}{10}\).
Now, we calculate the new dimensions:
- New Length = \(15 \times \frac{1}{10} = 1.5\)
- New Width = \(12 \times \frac{1}{10} = 1.2\)
Next, we calculate the area of the reduced rectangle:
\[ \text{Area} = \text{New Length} \times \text{New Width} = 1.5 \times 1.2 \]
Calculating this, we have:
\[ 1.5 \times 1.2 = 1.8 \]
Thus, the area of the reduced rectangle is 1.8 square units.
Therefore, the correct answer is 1.8 square units.
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