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 answer

To convert the scale drawing from 1 box = 15 feet to 1 box = 5 feet, we need to determine how many boxes correspond to the same physical width.

  1. The original width is 2 boxes at the scale of 1 box = 15 feet:

    • Total width in feet = 2 boxes * 15 feet/box = 30 feet
  2. Now, we apply the new scale of 1 box = 5 feet.

    • To find the width in boxes for the new scale drawing, we take the total width in feet and divide it by the new scale:
    • Width in boxes = Total width in feet / 5 feet/box = 30 feet / 5 feet/box = 6 boxes

Therefore, the width in the new scale drawing will be 6 boxes.