The rectangle shows the outline of a campsite in a national forest. Anna makes a scale drawing of the campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square meters? The sides are 4 m and 3 m
To find the area of the scale drawing, we need to calculate the scale factor first.
Given that the longer side of the rectangle on the scale drawing is 1 meter, and the longer side of the actual campsite is 4 meters, we can determine the scale factor as follows:
Scale factor = Length on scale drawing / Length of actual campsite
Scale factor = 1 / 4
Scale factor = 0.25
Now, we need to calculate the dimensions of the actual campsite by applying the scale factor:
Actual length = Scale factor * Length on scale drawing
Actual length = 0.25 * 1
Actual length = 0.25 meters
Similarly, the actual width will be:
Actual width = Scale factor * Width on scale drawing
Actual width = 0.25 * 3
Actual width = 0.75 meters
Now, we can calculate the area of the actual campsite:
Area = Actual length * Actual width
Area = 0.25 * 0.75
Area = 0.1875 square meters
Therefore, the area of the scale drawing in square meters is 0.1875 square meters.