To find the area of the scale drawing, we first need to determine the scale factor based on the lengths of the sides in the scale drawing compared to the actual rectangle.
The actual rectangle has a length of 4 meters and a width of 3 meters. In Anna's scale drawing, the longer side (length) measures 1 meter.
The scale factor for the length is: \[ \text{Scale Factor} = \frac{\text{Length in Scale Drawing}}{\text{Actual Length}} = \frac{1 \text{ m}}{4 \text{ m}} = \frac{1}{4} \]
Next, we apply the same scale factor to find the width in the scale drawing. The actual width is 3 meters, so: \[ \text{Width in Scale Drawing} = \text{Actual Width} \times \text{Scale Factor} = 3 \text{ m} \times \frac{1}{4} = \frac{3}{4} \text{ m} \]
Now, we can calculate the area of the scale drawing using the area formula for a rectangle, which is length multiplied by width: \[ \text{Area} = \text{Length in Scale Drawing} \times \text{Width in Scale Drawing} = 1 \text{ m} \times \frac{3}{4} \text{ m} = \frac{3}{4} \text{ m}^2 \]
Converting \(\frac{3}{4}\) m² to a decimal, we get: \[ \frac{3}{4} = 0.75 \text{ m}^2 \]
Therefore, the area of the scale drawing is \(0.75\) square meters.
The correct response is: 0.75 square meters.