1 Convert 500 cm to m. 1.2 Calculate the area of one window (L=0.6m, B=1.2m). 1.3 Calculate the area of the vent (diameter=0.5m, Area=2pir2, pi=3.142). 1.4 Calculate the area of the rectangular part o

Here are the solutions to the questions:

1.1 Convert 500 cm to m
To convert centimeters to meters, divide by 100.

$$500 \text{ cm} = \frac{500}{100} \text{ m}$$ $$500 \text{ cm} = 5 \text{ m}$$

The converted length is $\boxed{\text{5 m}}$.

1.2 Calculate the area of one window.
The windows are rectangular with a length of $0.6 \text{ m}$ and a breadth of $1.2 \text{ m}$.
The formula for the area of a rectangle is $\text{Area} = L \times B$.

$$\text{Area of one window} = 0.6 \text{ m} \times 1.2 \text{ m}$$ $$\text{Area of one window} = 0.72 \text{ m}^2$$

The area of one window is $\boxed{\text{0.72 m}^2}$.

1.3 Calculate the area of the vent.
The vent is circular with a diameter of $0.5 \text{ m}$.
First, find the radius:

$$\text{Radius } (r) = \frac{\text{Diameter}}{2} = \frac{0.5 \text{ m}}{2} = 0.25 \text{ m}$$

The problem provides the formula for the area of a circle as $\text{Area} = 2 \times \pi \times r^2$, with $\pi = 3.142$.

$$\text{Area of vent} = 2 \times 3.142 \times (0.25 \text{ m})^2$$ $$\text{Area of vent} = 2 \times 3.142 \times 0.0625 \text{ m}^2$$ $$\text{Area of vent} = 0.39275 \text{ m}^2$$

The area of the vent is $\boxed{\text{0.39275 m}^2}$.

1.4 Calculate the area of the rectangular part of the wall.
The width of the rectangular part of the wall is $500 \text{ cm}$, which is $5 \text{ m}$ (from 1.1).
The height of the rectangular part of the wall is $2.6 \text{ m}$.
The formula for the area of a rectangle is $\text{Area} = L \times B$.

$$\text{Area of rectangular wall} = 5 \text{ m} \times 2.6 \text{ m}$$ $$\text{Area of rectangular wall} = 13 \text{ m}^2$$

The area of the rectangular part of the wall is $\boxed{\text{13 m}^2}$.