Use the image to answer the question.

Question

A grid is shown with a rectangle drawn on it. The rectangle is 7 units long and 1 unit wide, labeled with 7 and 1 respectively.

Scale factor: 1 box = 6 meters

L’Quan needs to convert this scale drawing from a scale factor of 1 box = 6 meters to a scale factorof 1 box = 3 meters. The length in the scale drawing shown is 7 boxes. What will be the length in boxes of the new drawing?.

(1 point)
Responses

12
12

3.5
3.5

2
2

14

Answer 1

To convert the length from a scale factor of 1 box = 6 meters to a scale factor of 1 box = 3 meters, we need to understand how the sizes will change.

The original length in the scale drawing is 7 boxes, corresponding to 7 boxes × 6 meters/box = 42 meters.

Now, we need to express this length (42 meters) in the new scale where 1 box = 3 meters.

To find the new length in boxes, we divide the total length in meters by the new scale factor: \[ \text{New length in boxes} = \frac{42 \text{ meters}}{3 \text{ meters/box}} = 14 \text{ boxes} \]

So, the length in boxes of the new drawing is 14.