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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

0.75 square meters
0.75 square meters

12 square meters
12 square meters

1.33 square meters
1.33 square meters

3.5 square centimeters
3.5 square centimeters
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Answer 1

1.33 square meters

To find the area of the scale drawing, you need to square the ratio of the longer side of the scale drawing to the longer side of the actual rectangle.

1/4 = 0.25

0.25^2 = 0.0625

Now, multiply 0.0625 by the actual area of the rectangle, which is 12 square meters.

0.0625 * 12 = 0.75

Therefore, the area of the scale drawing is 1.33 square meters.