Question

Scale: 1 box = 4 inches

Ana Maria needs to convert this scale drawing from a 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?

(1 point)
Responses

6
6

14
14

1.5
1.5

9

Answer 1

To convert the scale from 1 box = 4 inches to 1 box = 2 inches while keeping the same physical width in inches, you can first find out how many inches the current drawing's width of 3 boxes represents.

1. Calculate the current width in inches:
\[
3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches}
\]

2. Now, to find out how many boxes this width will represent in the new scale where 1 box = 2 inches:
\[
12 \text{ inches} \div 2 \text{ inches/box} = 6 \text{ boxes}
\]

Thus, the width in boxes of the new drawing will be **6 boxes**.