L' Quan needs to convert this scale drawing from a scale factor of 1 box=6 meters to a scale factor of 1 box=3 meters. The length in the scale drawing shown is 7 boxes. What will be the length in boxes of the new drawing?
A. 2
B. 14
C. 12
D. 3.5
To convert the scale drawing from a scale factor of 1 box = 6 meters to a scale factor of 1 box = 3 meters, we can divide the original scale factor by 2.
So, the new scale factor is 1 box = 6 meters / 2 = 3 meters.
If the length in the original scale drawing is 7 boxes, the length in the new drawing can be found by dividing the original length by the original scale factor and then multiplying by the new scale factor.
New length in boxes = (Original length in boxes) * (New scale factor / Original scale factor) = 7 * (3 meters / 6 meters) = 7 * 1/2 = 7/2 = 3.5
Therefore, the length in boxes of the new drawing is 3.5, so the answer is D.