A grid rectangle is 7 inches long and 3 inches wide. The scale is 1 box=4 inches
Ana Maria needs to convert this scale drawing from scale of 1 box=4 inches to a scale of 1 box= 2 inches. The width in the scale drawing shown is 3 boxes. What will be the width in boxes of the new drawing?
A. 1.5
B. 6
C. 14
D. 9
If the original scale of the drawing is 1 box = 4 inches, and the width in the scale drawing is 3 boxes, then the real-world width can be calculated as follows:
Real-world width = number of boxes * scale factor
Real-world width = 3 boxes * 4 inches/box
Real-world width = 12 inches
Now, if we want to convert the scale so that 1 box = 2 inches, we can determine how many new boxes represent the real-world width:
Number of new boxes = real-world width / new scale factor
Number of new boxes = 12 inches / 2 inches/box
Number of new boxes = 6 boxes
So, the width in boxes of the new drawing, with a scale of 1 box = 2 inches, will be 6 boxes.
The correct answer is B. 6.