Laminate flooring is sold in packs of 14 pieces. How many packs of laminate flooring are needed to cover the floor in the living room?

Calculation:

1. Living room area: The living room is the largest room, which can be inferred from the plan as it occupies the largest contiguous space and has access to the corridor. Based on the grid, the living room appears to be approximately 5x5 units. Since each unit is 0.4m, the living room is approximately 5 * 0.4m = 2m in width and 5 * 0.4m = 2m in length. Therefore, the area of the living room is approximately \( 2m \times 2m = 4 m^2 \).
2. Area per pack: Each pack contains 14 pieces of laminate. Each piece is 20 cm (0.2 m) wide and 80 cm (0.8 m) long. The area of one piece is \( 0.2m \times 0.8m = 0.16 m^2 \). The total area covered by one pack is \( 14 \text{ pieces} \times 0.16 m^2/\text{piece} = 2.24 m^2 \).
3. Number of packs needed: To cover the living room area of \( 4 m^2 \), we need \( \frac{4 m^2}{2.24 m^2/\text{pack}} \approx 1.78 \) packs. Since you cannot buy a fraction of a pack, you need to round up to the nearest whole number.

Answer: 2 packs