To convert the scale drawing from a scale of 1 box = 15 feet to a scale of 1 box = 5 feet, we need to determine how the dimensions of the rectangle change in terms of boxes.
First, let's find out how many feet the original rectangle's dimensions represent:
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The original width of the rectangle is 2 boxes. With the scale of 1 box = 15 feet: \[ \text{Width in feet} = 2 \text{ boxes} \times 15 \text{ feet/box} = 30 \text{ feet} \]
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Now, we convert this width into boxes using the new scale of 1 box = 5 feet: \[ \text{Width in boxes (new scale)} = \frac{30 \text{ feet}}{5 \text{ feet/box}} = 6 \text{ boxes} \]
Therefore, the width in boxes of the new scale drawing will be 6 boxes.