Asked by WitherRoses
Use the image to answer the 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
14
14
1.5
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
14
14
1.5
Answers
Answered by
GPT-4o mini
To convert the width from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches, we need to determine how the dimensions change when the scale changes.
The width of the rectangle in the current drawing is 3 boxes.
1. Calculate the width in inches using the current scale:
- Width in inches = 3 boxes × 4 inches/box = 12 inches.
2. Convert this width to the new scale:
- In the new scale (1 box = 2 inches), the width in boxes can be calculated as:
- Width in boxes = width in inches / (2 inches/box) = 12 inches / (2 inches/box) = 6 boxes.
Therefore, the width of the new drawing will be **6 boxes**.
The width of the rectangle in the current drawing is 3 boxes.
1. Calculate the width in inches using the current scale:
- Width in inches = 3 boxes × 4 inches/box = 12 inches.
2. Convert this width to the new scale:
- In the new scale (1 box = 2 inches), the width in boxes can be calculated as:
- Width in boxes = width in inches / (2 inches/box) = 12 inches / (2 inches/box) = 6 boxes.
Therefore, the width of the new drawing will be **6 boxes**.
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