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
0.75 square meters
12 square meters
3.5 square centimeters
1.33 square meters
Based on the options provided, the answer is:
0.75 square meters
The real answer is 0.75 square meters. Bot GPT 3.5 is right!!!
To find the area of the scale drawing, we need to find the ratio of the length and width of the original rectangle to the length and width of the scale drawing.
The length of the original rectangle is 4 meters and the length of the scale drawing is 1 meter. The width of the original rectangle is 3 meters and the width of the scale drawing is unknown.
Using the ratio of the lengths, the width of the scale drawing can be found by dividing the length of the scale drawing by the length of the original rectangle.
Width of scale drawing = 1 meter ÷ 4 meters = 0.25 meters.
Now we can calculate the area of the scale drawing by multiplying the length and width.
Area of scale drawing = 1 meter × 0.25 meters = 0.25 square meters.
Therefore, the area of the scale drawing is 0.25 square meters.