To find the area of Clarence’s scale drawing, we first determine the scale factor used in the drawing.
The original rectangle measures 10 meters by 6 meters. In the scale drawing, the greater dimension (which is 10 meters) is represented as 2 meters.
We can find the scale factor by comparing the dimensions:
\[ \text{Scale factor} = \frac{\text{scaled dimension}}{\text{original dimension}} = \frac{2}{10} = \frac{1}{5} \]
Now, let's apply this scale factor to the other dimension (6 meters):
\[ \text{New width} = \text{original width} \times \text{scale factor} = 6 \times \frac{1}{5} = \frac{6}{5} \text{ meters} = 1.2 \text{ meters} \]
Now we have the dimensions of the scale drawing:
- Length: 2 meters
- Width: 1.2 meters
Next, we calculate the area of the scale drawing:
\[ \text{Area} = \text{length} \times \text{width} = 2 \times 1.2 = 2.4 \text{ square meters} \]
Thus, the area of Clarence’s scale drawing is 2.4 square meters.