Use the image to answer the question.

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?

(1 point)
Responses

3.5 square centimeters
3.5 square centimeters

1.33 square meters
1.33 square meters

0.75 square meters
0.75 square meters

12 square meters

1 answer

0.75 square meters

To find the area of the scale drawing, you need to square the ratio of the lengths in the scale drawing to the actual dimensions. In this case, the longer side on the scale drawing is 1 meter, which is 1/4 of the actual length of the rectangle (4 meters). Therefore, the area of the scale drawing is (1/4)^2 * (4 meters * 3 meters) = 1/16 * 12 square meters = 0.75 square meters.