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?
A. 3.5sm
B. 12sm
C. 0.75sm
D. 1.33sm
B. 12sm
To find the area of the scale drawing, we need to first determine the scale factor by dividing the length of the rectangle (4 meters) by the length of the longer side of the scale drawing (1 meter).
Scale factor = 4 meters / 1 meter = 4
Next, we need to calculate the width of the scale drawing by multiplying the width of the rectangle (3 meters) by the scale factor.
Width of scale drawing = 3 meters x 4 = 12 meters
Finally, we can calculate the area of the scale drawing by multiplying the length of the longer side (1 meter) by the width of the scale drawing (12 meters).
Area of scale drawing = 1 meter x 12 meters = 12 square meters
Therefore, the area of the scale drawing in square meters is 12sm.
Wrong
I apologize for the mistake. Let's correct it.
The scale factor is 4 in this case, as the longer side of the rectangle is 4 times larger than the longer side of the scale drawing.
To find the area of the scale drawing, we need to take the scale factor (4) and square it, as the area is two-dimensional.
Scale factor = 4
Area of scale drawing = (1m x 1m) x (4 x 4) = 1m^2 x 16 = 16 square meters
Therefore, the correct answer is not listed in the options provided. The area of the scale drawing in square meters is 16sm.