An illustration shows a rectangle with a length of 4 meters and a width of 3 meters.
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?
To find the area of the scale drawing, we first need to find the scale factor by dividing the length of the scale drawing (1 meter) by the actual length of the campsite (4 meters).
Scale factor = 1 meter / 4 meters = 1/4
Next, we need to find the width of the scale drawing by multiplying the actual width of the campsite (3 meters) by the scale factor.
Width of scale drawing = 3 meters x 1/4 = 3/4 meters
Now, we can calculate the area of the scale drawing by multiplying the length and width of the scale drawing.
Area of scale drawing = 1 meter x 3/4 meters = 3/4 square meters
Therefore, the area of the scale drawing is 3/4 square meters.