Use the image to answer the question.

A grid is shown with a rectangle drawn on it. The rectangle is 10 units long and 2 units wide, labeled with 10 and 2 respectively.

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

The length of the boxes in the new drawing can be calculated by multiplying the length in the scale drawing shown (10 boxes) by the ratio of the new scale factor to the old scale factor.

Since the new scale factor is 1 box = 12 inches and the old scale factor is 1 box = 6 inches, the ratio of the new scale factor to the old scale factor is 12/6 = 2.

Therefore, the length of the boxes in the new drawing is 10 boxes * 2 = 20 units.

So, the correct answer is 20.