Scale. One box equals 5 m reproduce the scale drawing of a playground so that it scale of one box equals 20 m what would be the new scale drawing

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To convert your playground drawing from a scale of 1 box equals 5 meters to a new scale of 1 box equals 20 meters, you'll need to adjust the dimensions of the drawing accordingly.

Here's how you do it:

  1. Determine the Scale Factor: We know that the new scale is four times larger than the original scale (20 m / 5 m = 4). This means that each dimension on the original drawing should be reduced by a factor of 4.

  2. Measure the Original Dimensions: Take the length and width of each section of the playground in the original drawing. For example, if an area measures 2 boxes long and 3 boxes wide at the original scale (which would represent 10 m x 15 m), we need to convert these measurements.

  3. Convert the Measurements:

    • Original measurement example: If a slide is 2 boxes long (10 m) and 1 box wide (5 m).
      • Length in the new scale = (2 boxes) / (4) = 0.5 boxes (which equals 10 m / 4 = 2.5 m)
      • Width in the new scale = (1 box) / (4) = 0.25 boxes (which equals 5 m / 4 = 1.25 m)
  4. Draw the New Playground: Using the adjusted dimensions, draw the playground again using the new scale. Each section should now have the dimensions that are one-fourth of what they were in the original drawing.

By following these steps, you end up with a new scale drawing that accurately represents the playground in the new scale of one box equals 20 m.

If you provide the specific measurements of different areas or features in your current playground drawing, I can help you with those exact conversions as well!