Use the image to answer the question.

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

3.5 square centimeters
3.5 square centimeters

1.33 square meters

Answer 1

1.33 square meters

To find the area of the scale drawing, we need to calculate the proportionate area based on the scale factor. The scale factor is 4 meters to 1 meter, which is 1:4.

Since the area of a rectangle is Length x Width, for the original rectangle it would be 4 meters x 3 meters = 12 square meters.

For the scale drawing, we need to reduce the length and width by a factor of 4. The new length would be 1 meter (4 meters / 4) and the new width would be 3/4 meters = 0.75 meters.

So the area of the scale drawing would be 1 meter (length) x 0.75 meters (width) = 0.75 square meters.