Use the image to answer the question.
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?
(1 point)
To convert the scale of the drawing from 1 box = 15 feet to 1 box = 5 feet, we need to make the units of measurement in the drawing smaller.
Since the width in the original scale drawing is 2 boxes, we need to find the width in the new scale drawing.
First, let's calculate the width in feet of the original scale drawing.
Width in feet = 2 boxes * 15 feet/box
Width in feet = 30 feet
Now, let's convert this width to the new scale of 1 box = 5 feet.
Width in boxes = Width in feet / 5 feet/box
Width in boxes = 30 feet / 5 feet/box
Width in boxes = 6 boxes
Therefore, the width in the new scale drawing will be 6 boxes.
6 is correct!!!
Answers for the Proportions and scale factors:
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To convert the scale from 1 box = 15 feet to 1 box = 5 feet, we need to divide the current scale by 3.
So, the new scale will be 1 box = 5 feet.
Since the width in the current scale drawing is 2 boxes, to find the width in boxes of the new scale drawing, we divide it by the conversion factor (3).
Width in boxes of new scale drawing = 2 boxes ÷ 3 = 0.67 boxes.
Therefore, the width in boxes of the new scale drawing will be approximately 0.67 boxes.
The width in the original scale drawing is 2 boxes, and the scale is 1 box = 15 feet. Therefore, the width in the original scale drawing is 2 * 15 = 30 feet.
To convert to a new scale of 1 box = 5 feet, we divide the original width by the old scale factor and multiply it by the new scale factor:
New width = (30 feet / 15 feet) * 5 feet
= 2 * 5 = 10 feet.
The width in the new scale drawing will be 10 feet.
Answer: 10 feet.