Luis builds a puzzle that has an area equal to 82 m2. If all its pieces are equal and the area of each of them is 22 dm2, how many pieces does the puzzle have?

1. Convert the area of the puzzle from square meters to square decimeters.
82 \, \text{m}^2 \times 100 \, \text{dm}^2 \, \text{per} \, \text{m}^2 = 8200 \, \text{dm}^2

2. Determine the number of pieces.
\frac{8200 \, \text{dm}^2}{22 \, \text{dm}^2 \, \text{per} \, \text{piece}} = 372.72727 \, \text{pieces}

3. Since the number of pieces must be a whole number, we round to the nearest whole number.
373 \, \text{pieces}

Answer: The puzzle has 373 pieces.