To solve for the area of the scale drawing of the campsite, we first need to determine the scale of the drawing.
The original rectangle has a length of 4 meters and a width of 3 meters. Anna's scale drawing has the longer side (the length) measuring 1 meter. To find the scale factor, we can compare the original length to the length in the scale drawing:
\[ \text{Scale factor} = \frac{\text{Length in scale drawing}}{\text{Original length}} = \frac{1 \text{ meter}}{4 \text{ meters}} = \frac{1}{4} \]
Since the width is proportional to the length, we will also scale the width down by the same factor. The original width is 3 meters:
\[ \text{Scaled width} = \text{Original width} \times \text{Scale factor} = 3 \text{ meters} \times \frac{1}{4} = \frac{3}{4} \text{ meters} = 0.75 \text{ meters} \]
Now, we can calculate the area of the scale drawing:
\[ \text{Area} = \text{Length} \times \text{Width} = 1 \text{ meter} \times 0.75 \text{ meters} = 0.75 \text{ square meters} \]
Thus, the area of the scale drawing is:
0.75 square meters.
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