Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 15 feet
Convert this scale drawing so that it has a scale of 1 box = 5 feet. The width in the scale drawing shown is 2 boxes. What will be the width in boxes of the new scale drawing?
To convert the scale drawing from 1 box = 15 feet to 1 box = 5 feet, we need to divide the original scale by 3.
So, the new scale will be 1 box = 15/3 = 5 feet.
The original width of the rectangle in the scale drawing is 2 boxes. To find the width in the new scale drawing, we divide the original width by 3.
Width in the new scale drawing = 2/3 = <<2/3=0.67>>0.67 boxes.
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To convert the scale from 1 box = 15 feet to 1 box = 5 feet, we need to reduce the scale by 3.
So, the new scale will be 1 box = 15/3 = 5 feet.
The original width of the rectangle in the scale drawing is 2 boxes. To find the width in the new scale drawing, we divide the original width by 3.
Width in the new scale drawing = 2/3 = 0.67 boxes.
Therefore, the width in boxes of the new scale drawing will be approximately 0.67 boxes.
To solve this problem, we need to first determine the conversion factor between the old scale and the new scale.
The old scale is 1 box = 15 feet, and we want to convert it to 1 box = 5 feet. To find the conversion factor, we divide the old scale by the new scale:
Conversion factor = 15 feet / 5 feet = 3
So, every box in the old scale drawing is equivalent to 3 boxes in the new scale drawing.
The width in the old scale drawing is given as 2 boxes. To find the width in the new scale drawing, we multiply the old width by the conversion factor:
Width in new scale drawing = 2 boxes * 3 = 6 boxes
Therefore, the width in the new scale drawing will be 6 boxes.