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

1 answer

1.33 square meters

To find the area of the rectangle in the scale drawing, we need to use the scale factor. The original rectangle had a length of 4 meters and a width of 3 meters. The scale factor is 1:4 (1 meter on the drawing represents 4 meters in real life).

Therefore, the length of the rectangle in the scale drawing is 1 meter (4 meters / 4) and the width is 0.75 meters (3 meters / 4).

Calculating the area: 1 meter x 0.75 meters = 0.75 square meters

So, the area of the scale drawing is 0.75 square meters.
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