Use the image to answer the question.
3
2
Scale: 1 box = 15 feet
Convert this scale drawing so that it has a scale of 1box = 5 feet. The width in the scale drawing shown is 2 boxes What will be the width in boxes of the new scale drawing?
The current scale of 1 box = 15 feet needs to be converted to a scale of 1 box = 5 feet.
To convert the scale, we can divide the current scale (15 feet) by the desired scale (5 feet): 15 feet / 5 feet = 3.
Therefore, the new scale will be 1 box = 3 boxes.
Since the width in the current scale drawing is 2 boxes, the width in the new scale drawing will be 2 boxes x 3 = 6 boxes.
To answer this question, we need to determine the width in boxes of the new scale drawing.
In the current scale drawing, we are given that 1 box represents 15 feet. Thus, we can conclude that 2 boxes represent 30 feet (2 boxes * 15 feet/box).
Now, we need to convert this to the new scale, which states that 1 box represents 5 feet.
To find the width in boxes of the new scale drawing, we divide the width in feet (30 feet) by the new ratio (5 feet/box):
Width in boxes = Width in feet / Ratio
Width in boxes = 30 feet / 5 feet/box
Width in boxes = 6 boxes
Therefore, the width in boxes of the new scale drawing would be 6 boxes.
To convert the scale drawing from 1 box = 15 feet to 1 box = 5 feet, we need to reduce the scale.
The conversion factor is 15 feet/box ÷ 5 feet/box = 3.
Therefore, the width in the new scale drawing will be 2 boxes × 3 = 6 boxes.