Start by finding the scale of this map. At the actual gym, one side length of the snack stand is 60 feet. On the scale map, it is 20 cm. What is the scale?

A scale map of a gym with dimensions 50 cm by 40 cm. Within the gym are a basketball court and a snack stand. One side length of the snack stand is labeled 20 cm.
The scale is 1 cm =
feet.

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 need to compare the actual length of one side of the snack stand with its representation on the map.

  1. The actual length of one side of the snack stand is 60 feet.
  2. The length of the same side on the scale map is 20 cm.

Now we can find the scale using the following formula:

\[ \text{Scale} = \frac{\text{Actual Length}}{\text{Map Length}} = \frac{60 \text{ feet}}{20 \text{ cm}} \]

To express the scale in terms of feet per centimeter, we can simplify this:

\[ \text{Scale} = \frac{60 \text{ feet}}{20 \text{ cm}} = 3 \text{ feet per cm} \]

Therefore, the scale is:

\[ \text{The scale is } 1 \text{ cm} = 3 \text{ feet.} \]