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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

1.5
1.5

9
9

14
14

6
6
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1 answer

To convert the width from the current scale (1 box = 4 inches) to the new scale (1 box = 2 inches), we need to determine how many boxes represent the same physical width in inches.

The current width (in inches) of the rectangle is:

  • Width in boxes: 3 boxes
  • Current scale: 1 box = 4 inches
  • Current width in inches: 3 boxes × 4 inches/box = 12 inches

Now, we will convert this width into the new scale:

  • New scale: 1 box = 2 inches
  • Width in boxes: 12 inches ÷ 2 inches/box = 6 boxes

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