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

12 square meters
12 square meters

1.33 square meters
1.33 square meters

0.75 square meters
0.75 square meters

3.5 square centimeters

Answer 1

1.33 square meters

To calculate the area of the scale drawing, we first need to calculate the scale factor. Given that the length on the scale drawing is 1 meter and the actual length is 4 meters, the scale factor is 1/4 = 0.25.

Next, we calculate the area of the scale drawing using the scale factor:
Area of scale drawing = (length on scale drawing) x (width on scale drawing)
Area of scale drawing = (1 meter x 0.25) x (3 meters x 0.25)
Area of scale drawing = 0.25 x 0.75 = 0.1875 square meters

Therefore, the area of the scale drawing is 0.1875 square meters, which is closest to 1.33 square meters.