To determine the amount of material needed for the cover of a rectangular swimming pool, you need to calculate the area of the pool's surface.
The formula for the area \( A \) of a rectangle is:
\[ A = \text{length} \times \text{width} \]
For the swimming pool:
- Length = 10 m
- Width = 5 m
Now, substitute the values into the formula:
\[ A = 10 , \text{m} \times 5 , \text{m} = 50 , \text{m}^2 \]
Therefore, the amount of material needed for the cover is 50 square meters.