To convert the dimensions from a scale of 1 box = 15 feet to a scale of 1 box = 5 feet, we first need to determine the actual size of the rectangle in feet based on the original scale.
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For the original scale (1 box = 15 feet):
- Width = 2 boxes = \( 2 \times 15 = 30 \) feet
- Length = 3 boxes = \( 3 \times 15 = 45 \) feet
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Now, for the new scale (1 box = 5 feet), we convert the actual dimensions back into boxes:
- New Width in boxes = Actual Width in feet / 5 feet per box
- New Width in boxes = \( 30 \text{ feet} / 5 \text{ feet per box} = 6 \text{ boxes} \)
Thus, the width in boxes of the new scale drawing will be 6 boxes.