This is a scale map of an actual park.

Start by finding the scale of this map. At the actual park, one side length of the volleyball court is 25 m. On the scale map, it is 5 in. What is the scale?
A scale map of a park with dimensions 10 in by 10 in. Within the park are a swimming pool and a volleyball court. One side length of the volleyball court is labeled 5 in.
The scale is 1 in =
m.

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

To find the scale of the map, we can set up a proportion based on the actual length of the volleyball court and the length of the volleyball court on the map.

  1. The actual side length of the volleyball court is 25 m.
  2. The length of the volleyball court on the map is 5 in.

Now, we can formulate the scale as follows:

\[ \text{Scale} = \frac{\text{Actual length}}{\text{Map length}} = \frac{25 , \text{m}}{5 , \text{in}} \]

To find the scale in terms of meters per inch, we calculate:

\[ \text{Scale} = \frac{25 , \text{m}}{5 , \text{in}} = 5 , \text{m/in} \]

So the scale of the map is:

1 in = 5 m.