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?
Responses:
1.33 square meters
3.5 square meters
0.75 square meters
12 square meters
3.5 square meters
To calculate the area of the scale drawing, we need to find the length of the shorter side of the rectangle in the scale drawing. Since the longer side in the scale drawing is 1 meter, and the actual longer side is unknown, we need to determine the scale factor.
Let the actual longer side of the rectangle be x meters. Given that the scale factor is 1 meter in the scale drawing corresponds to x meters in the actual campsite, we can set up the proportion:
1 / x = 1 / 1
Cross multiplying gives us x = 1.
Now, the area of the rectangle in the scale drawing is:
Area = 1m x 1m = 1 square meter
Therefore, the area of the scale drawing in square meters is 1 square meter, which means the correct answer choice is not provided among the options given.