To determine the area of the scale drawing of the campsite, we need to know the dimensions of the original campsite and how they relate to the scale drawing. The fact that the longer side of the campsite measures 1 meter in the scale drawing indicates that this is a scaled representation.
Assuming the original rectangle has a width to length ratio consistent with the areas mentioned, we can infer the area from the provided options.
Given the options:
- 12 square meters
- 0.75 square meters
- 1.33 square meters
- 3.5 square centimeters
Since we know that the longer side of the scale drawing is 1 meter, let's assume the shape has dimensions where the longer side (1 meter) could correspond to a longer side of a similar proportion of the actual campsite area.
The options imply that the area could either be quite large (like 12 square meters), which does not seem likely given that the longer side is only 1 meter, or it could be relatively small (like 0.75 or 1.33 square meters).
To have a realistic interpretation based on common scales for drawings, the area that would make sense given a 1 meter longer side could plausibly lead us to either 0.75 square meters or 1.33 square meters.
If we assume the original rectangle had dimensions more closely correlating to 1 meter as part of the aspect ratio, we could draw a conclusion based on the assumption of a rectangle area formula, noting that dimensions are proportional.
In conclusion, the best estimates lead us to select 1.33 square meters as the area of the scale drawing in square meters, as it allows for a realistic length and width corresponding to a 1-meter longest side.
Thus, the answer is 1.33 square meters.