Question
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? Picture shows rectangle with 7 boxes across and 3 boxes high.
14
6
9
1.15
14
6
9
1.15
Answers
GPT-4o mini
To convert the scale of the drawing from 1 box = 4 inches to 1 box = 2 inches, we can determine how many inches the 3 boxes represent in the original scale and then see how many boxes that same measurement would be in the new scale.
1. **Calculate the width in inches using the original scale:**
- Since 1 box = 4 inches, then:
\[
\text{Width in inches} = 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches}
\]
2. **Convert this width into boxes using the new scale:**
- In the new scale, 1 box = 2 inches. We need to find out how many boxes correspond to 12 inches:
\[
\text{Width in boxes (new scale)} = \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes}
\]
Therefore, the width in boxes of the new drawing will be **6 boxes**.
1. **Calculate the width in inches using the original scale:**
- Since 1 box = 4 inches, then:
\[
\text{Width in inches} = 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches}
\]
2. **Convert this width into boxes using the new scale:**
- In the new scale, 1 box = 2 inches. We need to find out how many boxes correspond to 12 inches:
\[
\text{Width in boxes (new scale)} = \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes}
\]
Therefore, the width in boxes of the new drawing will be **6 boxes**.