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 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

6
6

9
9

1.5
1.5

14

Answer 1

To find the width in boxes of the new drawing with a scale of 1 box = 2 inches, we first need to determine the current width in inches.

The width of the rectangle in the drawing is 3 boxes. Given the scale of 1 box = 4 inches, we calculate the current width:

\[ \text{Current width in inches} = 3 , \text{boxes} \times 4 , \text{inches/box} = 12 , \text{inches} \]

Now, we want to convert this width to the new scale of 1 box = 2 inches. We can find the new width in boxes by dividing the width in inches by the new scale:

\[ \text{New width in boxes} = \frac{12 , \text{inches}}{2 , \text{inches/box}} = 6 , \text{boxes} \]

Therefore, the width in boxes of the new drawing will be 6.