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.
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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 × 3 feet/box = 12 feet
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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 ÷ New scale (feet per box)
- Number of boxes in new scale = 12 feet ÷ 2 feet/box = 6 boxes
Therefore, the width in boxes of the new drawing will be 6 boxes.