To determine the area of the scale drawing, we first need to find the scale factor. The original rectangle has a length of 4 meters and a width of 3 meters. In Anna's scale drawing, the longer side (length) is scaled down to 1 meter.
The scale factor for the length is: \[ \text{Scale Factor} = \frac{\text{Scale Length}}{\text{Original Length}} = \frac{1 \text{ m}}{4 \text{ m}} = \frac{1}{4} \]
We will apply the same scale factor to the width to find the scale width: \[ \text{Scale Width} = \text{Original Width} \times \text{Scale Factor} = 3 \text{ m} \times \frac{1}{4} = \frac{3}{4} \text{ m} \]
Now, we calculate the area of the scale drawing: \[ \text{Area} = \text{Scale Length} \times \text{Scale Width} = 1 \text{ m} \times \frac{3}{4} \text{ m} = \frac{3}{4} \text{ square meters} = 0.75 \text{ square meters} \]
Thus, the area of the scale drawing is 0.75 square meters. The correct response is:
0.75 square meters