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

0.75 square meters
0.75 square meters

1.33 square meters

Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

1.33 square meters

To find the area of the scale drawing, we need to first determine the scale factor. Since the longer side of the rectangle in the scale drawing measures 1 meter while the actual longer side measures 4 meters, the scale factor is 1/4 = 0.25.

Next, multiply the width of the actual rectangle by the scale factor to find the width of the scale drawing: 3 meters x 0.25 = 0.75 meters.

Finally, calculate the area of the scale drawing by multiplying the length and width: 1 meter x 0.75 meters = 0.75 square meters.

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