The rectangle shows the outline of a campsite in a national forest. Anna makes a scale drawing of the campsite in which the longest side measures 1 meter. What is the area of the scale draw in square meters?

Question

3 m
4 m
A. 3.5 square centimeters
B. 1.33 square meters
C. 12 square meters
D. 0.75 square meters

Answer 1

B. 1.33 square meters

To find the area of the scale drawing, you need to square the ratio of the drawing to the actual size. Since the longest side of the campsite in the drawing is 1 meter, and the longest side of the actual campsite is 3 meters, the scale factor is 1/3.

So, the area of the scale drawing is (1/3)^2 = 1/9 square meters. Since the longest side of the scale drawing is 1 meter, the area is 1/9 * 3 = 1/3 * 1 = 1/3 = 0.33 square meters.