This is a scale map of an actual park.

Question

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 =
5
m.
Good work!
Now, use the scale to find the missing side length of the volleyball court on the map. On the actual park, its length is 20 m.
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 other side length of the dining hall is highlighted, no length is labeled.
The scale is 1 in = 5 m.
The length of the volleyball court on the map is
in.

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To find the missing side length of the volleyball court on the scale map, we can use the scale you provided.

You stated that the scale is 1 inch = 5 meters.

We know that on the actual park, one side of the volleyball court is 25 meters. We already established that this translates to 5 inches on the map.

Now, the other side of the volleyball court is given as 20 meters in the actual park. We need to convert this measurement into inches using the scale of 1 inch = 5 meters.

To find the corresponding length in inches for the 20 meters:

\[ \text{Length on the map} = \frac{\text{Actual length}}{\text{Scale factor}} = \frac{20 \text{ m}}{5 \text{ m/in}} = 4 \text{ in} \]

So, the other side length of the volleyball court on the map is 4 inches.