To solve for the area of Clarence's scale drawing, we first need to determine the scale factor he used to create the drawing.
The original rectangle measures 10 meters by 6 meters. In the scale drawing, the greater dimension (which is 10 meters) is scaled down to 2 meters.
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Calculate the scale factor: \[ \text{Scale factor} = \frac{\text{scale drawing dimension}}{\text{original dimension}} = \frac{2 \text{ m}}{10 \text{ m}} = \frac{1}{5} \]
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Now apply the same scale factor to the smaller dimension: \[ \text{New smaller dimension} = 6 \text{ m} \times \frac{1}{5} = \frac{6}{5} \text{ m} = 1.2 \text{ m} \]
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Now we can find the area of Clarence's scale drawing: \[ \text{Area} = \text{length} \times \text{width} = 2 \text{ m} \times 1.2 \text{ m} = 2.4 \text{ square meters} \]
Therefore, the area of Clarence’s scale drawing is 2.4 square meters.