Use the image to answer the question.

Scale factor: 1 box = 6 inches

Maisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?

(1 point)
Responses

20
20

12
12

5
5

1
1 ..

1 answer

To convert the length from the original scale factor of 1 box = 6 inches to the new scale factor of 1 box = 12 inches, we first need to determine the actual length represented by the 10 boxes at the original scale.

  1. Calculate the length in inches at the original scale:

    • 10 boxes × 6 inches/box = 60 inches
  2. Now, to find out how many boxes this length would represent at the new scale (1 box = 12 inches), we divide the total length by the new scale measurement:

    • 60 inches ÷ 12 inches/box = 5 boxes

So, the length of the boxes in the new drawing would be 5.

The correct response is: 5