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
1.33 square meters
1.33 square meters
12 square meters
12 square meters
3.5 square centimeters
3.5 square centimeters
0.75 square meters
0.75 square meters
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0.75 square meters
To find the area of the scale drawing, we need to first calculate the scale factor by dividing the length of the scale drawing by the actual length. In this case, 1 meter (scale drawing length) divided by 4 meters (actual length) equals 0.25.
Next, we square the scale factor to find the area scale factor. 0.25 squared equals 0.0625.
Finally, we multiply the area of the actual campsite rectangle by the area scale factor. The area of the actual campsite rectangle is 4 meters x 3 meters = 12 square meters. 12 square meters x 0.0625 = 0.75 square meters for the scale drawing.