Darcia needs to convert this scale drawing from a scale of 1 box = 3 feet to a scale of 1 box = 2 feet. The width in the scale drawing shown is 4 boxes. What will be the width in boxes of the new drawing?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 days ago

To convert the scale drawing from a scale of 1 box = 3 feet to a scale of 1 box = 2 feet, we first need to determine the actual width in feet based on the original scale.

1. **Calculate the actual width in feet using the original scale:**
- Original scale: 1 box = 3 feet
- Number of boxes: 4 boxes
- Actual width = 4 boxes ร— 3 feet/box = 12 feet

2. **Now convert this actual width to the new scale:**
- New scale: 1 box = 2 feet
- To find out how many boxes represent 12 feet in the new scale, we use:
- Number of boxes in new scale = Actual width in feet รท New scale (feet per box)
- Number of boxes in new scale = 12 feet รท 2 feet/box = 6 boxes

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