Question

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

12 square meters
12 square meters

3.5 square centimeters
3.5 square centimeters

1.33 square meters
1.33 square meters

0.75 square meters
0.75 square meters
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Answer 1

Scale factor = drawing length / actual length = 1/4. Area scales by (1/4)^2 = 1/16. Original area = 4×3 = 12 m^2. Scale drawing area = 12 × 1/16 = 12/16 = 3/4 = 0.75 m^2.

Answer: 0.75 square meters.