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.

Question

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

1.5
1.5

9
9

14

Answer 1

To find the width in boxes of the new drawing at the scale of 1 box = 2 inches, we first need to determine the actual width in inches of the rectangle based on the current scale.

The current dimensions of the rectangle are:

• Width = 3 boxes
• Scale = 1 box = 4 inches

Calculating the width in inches: \[ \text{Width in inches} = 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \]

Now, we need to convert this width to boxes using the new scale of 1 box = 2 inches.

Calculating the width in boxes for the new scale: \[ \text{Width in boxes} = \frac{\text{Width in inches}}{2 \text{ inches/box}} = \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes} \]

Therefore, the width in boxes of the new drawing will be:

6