Now, use the scale to find the missing side length of the dining hall on the map. On the actual campus, its length is 16 m.

Question

A scale map of a campus with dimensions 40 cm by 20 cm. Within the campus are a parking lot and a dining hall. One side length of the dining hall is labeled 25 cm. The other side length of the dining hall is highlighted, no length is labeled.
Scale: 1 cm = 2 m
The length of the dining hall on the map is
cm.

Answer 1

To find the missing side length of the dining hall on the map, we need to use the given scale of the map.

1. The scale indicates that 1 cm on the map corresponds to 2 meters in reality.
2. Since the actual length of the dining hall is given as 16 meters, we can convert this length to the map length using the scale.

Using the scale: \[ \text{Map length} = \frac{\text{Actual length}}{\text{Scale factor}} = \frac{16 \text{ m}}{2 \text{ m/cm}} = 8 \text{ cm} \]

So, the length of the dining hall on the map is 8 cm.

If one side is already labeled as 25 cm, the missing side length should also be 8 cm in the context of the dining hall's dimensions. Thus, you may want to double-check if you're interpreting the dimensions correctly; usually, both sides can't be larger than the actual building's dimensions.

In simple terms, the highlighted side length of the dining hall on the map would be 8 cm.