Map scale is 1:50,000. A feature measures 6.5 cm on the map. Calculate its actual distance in km.

Given:
Map scale = $1 : 50\,000$
Map distance = $6,5 \text{ cm}$
Using the formula: Actual Distance = Map Distance $\times$ Scale Denominator

$$\text{Actual Distance} = 6,5 \text{ cm} \times 50\,000$$ $$\text{Actual Distance} = 325\,000 \text{ cm}$$ $$\boxed{\text{2.1 a) Actual distance} = 325\,000 \text{ cm}}$$

We know that $1 \text{ km} = 100\,000 \text{ cm}$.
To convert centimeters to kilometers, divide by $100\,000$.

$$\text{Actual Distance in km} = \frac{325\,000 \text{ cm}}{100\,000 \text{ cm/km}}$$ $$\text{Actual Distance in km} = 3,25 \text{ km}$$ $$\boxed{\text{2.1 b) Actual distance} = 3,25 \text{ km}}$$

Given:
Word scale = $1 \text{ cm} = 2,5 \text{ km}$
Trail measures on map = $8,4 \text{ cm}$
To find the actual length, multiply the map distance by the real-world equivalent of $1 \text{ cm}$.

$$\text{Actual trail length} = 8,4 \text{ cm} \times 2,5 \text{ km/cm}$$ $$\text{Actual trail length} = 21 \text{ km}$$ $$\boxed{\text{2.2 Actual trail length} = 21 \text{ km}}$$

The table with measurements for the rooms (Length on Plan (cm) and Width on Plan (cm)) is not visible in the provided image. Therefore, this question cannot be completed.

$$\boxed{\text{2.3 This question cannot be completed as the table with room measurements is not visible in the image.}}$$