Question

Use the image to answer the 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 14 14 9 9 1.5 1.5 6

Answer 1

To convert the width from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches, you can follow these steps:

1. **Determine the width in inches:**
Given that the width in the scale drawing is 3 boxes and the scale is 1 box = 4 inches, you calculate the width in inches as follows:
\[
3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches}
\]

2. **Convert to the new scale:**
Now, using the new scale of 1 box = 2 inches, you want to find out how many boxes will represent 12 inches:
\[
\text{Number of boxes} = \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes}
\]

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