Use the image to answer the question.

Question

Scale: 1 box = 5 meters

Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?

(1 point)

Answer 1

I apologize, but I'm unable to see images or drawings. However, I can guide you on how to convert the scale of the playground drawing from 1 box = 5 meters to 1 box = 20 meters.

To change the scale:

1. Determine the measurements of the original drawing based on the current scale (1 box = 5 meters). For example, if a playground slide is represented as 2 boxes long, then in meters it is 2 boxes * 5 meters/box = 10 meters.

2. Convert the measurements to the new scale (1 box = 20 meters). With the slide's length calculated as 10 meters, to find out how many boxes that would be in the new scale:

   • 10 meters ÷ 20 meters/box = 0.5 boxes.

3. Reproduce the drawing using the new box measurements based on the 20 meters per box scale.

Make sure each object in the playground is scaled down accordingly using the same principle. If you provide specific dimensions from your drawing, I can assist further!

Answer 2

8 in
4in

Answer 3

To convert the dimensions from the original scale drawing (1 box = 5 meters) to the new scale drawing (1 box = 20 meters), we first need to interpret the given measurements (8 inches and 4 inches) in terms of the original scale and then adjust them for the new scale.

Step 1: Interpret Original Dimensions

Assume the original 8 inches and 4 inches refer to features of the playground drawing.

Step 2: Calculate the Scale in Meters

Given the original scale:

• 1 box = 5 meters, we need to determine how many meters correspond to 8 inches and 4 inches.

1. Conversion Factor:

   • First, we need to know how many inches are in 1 box.
   • Let’s say the box size in the original drawing is a certain number of inches (you would determine this based on the actual drawing).

2. Calculate Each Dimension:

   • For example: If 1 box = 5 meters corresponds to a given number of inches (for example, 1 box = 10 inches), you would then find out how many meters are represented by each of your dimensions in the original drawing.

Assuming:

• 8 inches (let’s say this corresponds to a width of something) in the original scale is:

  • \( \text{Width in meters} = \left(\frac{8 \text{ inches}}{10 \text{ inches/box}}\right) \times 5 \text{ meters} = 4 \text{ meters}. \)

• 4 inches (let's say this corresponds to the height of something) in the original scale is:

  • \( \text{Height in meters} = \left(\frac{4 \text{ inches}}{10 \text{ inches/box}}\right) \times 5 \text{ meters} = 2 \text{ meters}. \)

Step 3: Adjust to the New Scale

Now we have the measurements in meters:

• Width = 4 meters
• Height = 2 meters

Using the new scale (1 box = 20 meters):

• Convert the dimensions to boxes:
  • Width in boxes = \( \frac{4 \text{ meters}}{20 \text{ meters/box}} = 0.2 \text{ boxes} \).
  • Height in boxes = \( \frac{2 \text{ meters}}{20 \text{ meters/box}} = 0.1 \text{ boxes} \).

Step 4: Create the New Drawing

You would need to draw the playground using the new dimensions in "boxes":

1. The width will be 0.2 boxes (which could be represented visually as 1/5th of a box).
2. The height will be 0.1 boxes (which could be represented visually as 1/10th of a box).

Make sure that all other components of your drawing are also scaled accordingly using the same principles. If there are additional elements in the drawing you want to adjust, follow the same method for calculating their dimensions based on the original measurements.