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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

6
6

9
9

14
14

1.5

1 answer

To convert the width from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches, we need to determine how the dimensions change when the scale changes.

The width of the rectangle in the current drawing is 3 boxes.

  1. Calculate the width in inches using the current scale:

    • Width in inches = 3 boxes × 4 inches/box = 12 inches.

  2. Convert this width to the new scale:

    • In the new scale (1 box = 2 inches), the width in boxes can be calculated as:
    • Width in boxes = width in inches / (2 inches/box) = 12 inches / (2 inches/box) = 6 boxes.

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