Question

Multiply the actual length of the snack stand, 30 feet, by the scale factor,
3
1
​
, to find the missing side length of the snack stand on the map.

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 other side length of the dining hall is highlighted, no length is labeled.
Scale: 1 cm = 3 feet
Side length of snack stand:
cm = 30 feet

The length of the snack stand on the map is
cm.

Answer 1

To find the length of the snack stand on the map, you need to use the scale factor given. The scale is:

1 cm = 3 feet.

Given that the actual length of the snack stand is 30 feet, you can set up the conversion like this:

\[
\text{Length on map (cm)} = \frac{\text{Actual length (feet)}}{\text{Scale factor (feet per cm)}}
\]

In this case, the scale factor is 3 feet/cm.

Now, substituting the values into the formula:

\[
\text{Length on map (cm)} = \frac{30 \text{ feet}}{3 \text{ feet/cm}} = 10 \text{ cm}
\]

So, the length of the snack stand on the map is **10 cm**.