Question

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

5
5

20
20

1
1

12
12
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find the length of the rectangle in the new drawing with a scale factor of 1 box = 12 inches, we first need to determine the current length in inches.

Currently, with the scale factor of 1 box = 6 inches:
- The length of the rectangle is 10 boxes.
- Therefore, the length in inches is:
\[
10 \, \text{boxes} \times 6 \, \text{inches/box} = 60 \, \text{inches}
\]

Now, we want to determine how many boxes this length will occupy in the new scale where 1 box = 12 inches:
- To find the new length in boxes, we divide the length in inches by the new scale factor:
\[
\text{Length in boxes} = \frac{60 \, \text{inches}}{12 \, \text{inches/box}} = 5 \, \text{boxes}
\]

Therefore, the length of the boxes in the new drawing will be **5** boxes.

So, the correct response is:
**5**