## Task 3 - 020813

In the center of Berlin, the new Hotel Berolina is being built. The front facade is clad with 286 exterior wall panels. For each of the ten upper floors, 26 panels are placed side by side.

The two outer panels have an area of $6.73 \mathrm{~m}^{2}$ each, and the other 24 panels of each floor have an area of $6.37 \mathrm{~m}^{2}$ each. The height of the panels is $2.74 \mathrm{~m}$.

The upper closure of the facade is formed by 26 panels as cladding for the roof floor. The outer panels of these have an area of $3.73 \mathrm{~m}^{2}$ each. The height of all these panels is $1.52 \mathrm{~m}$.
The following are to be calculated:
a) the height of the facade,
b) the length of the facade!

Note: There is always a joint of $5 \mathrm{~cm}$ width between any two panels. In addition, the height of the entrance hall, which is $10 \mathrm{~m}$, must be added to the height.
The facade is $10 m + 10 \cdot 2.74 m + 1.52 m + 10 \cdot 0.05 m = 39.42 m$ high.

Its length is $2 \cdot (6.73: 2.74) m + 24 \cdot (6.37: 2.74) m + 25 \cdot 0.05 m \approx 61.85 m$.