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Use the image to answer the question.

A grid is shown with a rectangle drawn on it. The rectangle is 7 units long and 3 units wide, labeled with 7 and 3 respectively.

Scale: 1 box = 4 inches

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?

(1 point)
Responses

9
9

14
14

1.5
1.5

6
6
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1 answer

To convert the scale from 1 box = 4 inches to 1 box = 2 inches, we need to determine how the widths will change.

The current width of the rectangle is 3 boxes. Since the scale changes, we first convert the box measurement in inches:

  1. Calculate width in inches:

    • Current width in inches: \( 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \)

  2. Convert inches to new box size:

    • New box size is 2 inches per box: \( \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes} \)

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

The correct response is 6.