Ask a New Question
Menu

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

1.5
1.5

14
14

6
6

1 answer

To determine the width in boxes of the new drawing with a scale of 1 box = 2 inches, we can follow these steps:

  1. Calculate the actual width of the rectangle with the original scale:

    • The width of the rectangle is given as 3 boxes.
    • Since the scale is 1 box = 4 inches, the actual width in inches is: \[ 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \]

  2. Convert the actual width to the new scale:

    • With the new scale of 1 box = 2 inches, we need to determine how many boxes correspond to the same actual width: \[ \text{Number of boxes} = \frac{\text{Actual width in inches}}{\text{New scale in inches/box}} = \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes} \]

Thus, the width in boxes of the new drawing is 6 boxes.

The correct response is: 6.