To solve for the area of Anna's scale drawing of the campsite, we start with the original dimensions of the rectangle: a length of 4 meters and a width of 3 meters.
When Anna makes a scale drawing, she sets the longer side (length) to 1 meter. To find the scale factor, we compare the lengths:
- Original length = 4 meters
- Scaled length = 1 meter
- Scale factor = (scaled length) / (original length) = 1 meter / 4 meters = 1/4
Next, we apply the same scale factor to the width:
- Original width = 3 meters
- Scaled width = 3 meters * (1/4) = 3/4 meters
Now, we calculate the area of the scale drawing:
- Area = (scaled length) * (scaled width)
- Area = (1 meter) * (3/4 meters) = 3/4 square meters
Thus, the area of the scale drawing in square meters is:
0.75 square meters
So the answer is: 0.75 square meters.