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.

Question

14
6
9
1.15

Answer 1

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.