To find the area of the scale drawing of the campsite, we first determine the scale ratio between the original campsite dimensions and the dimensions of the scale drawing.
The dimensions of the original rectangle are:
- Length = 4 meters
- Width = 3 meters
In the scale drawing, the longer side (length) measures 1 meter. To determine the scale factor:
- Scale factor for length = 1 meter (scale drawing length) / 4 meters (original length) = 1/4
Now, we need to find the corresponding width in the scale drawing using the same scale factor.
To calculate the width in the scale drawing:
- Scale drawing width = original width × scale factor
- Scale drawing width = 3 meters × (1/4) = 3/4 meters = 0.75 meters
Next, we can calculate the area of the scale drawing: Area = length × width Area = 1 meter × 0.75 meters = 0.75 square meters
Thus, the area of the scale drawing is 0.75 square meters.
The correct response is: 0.75 square meters.