To find the length of the rectangle given the area and width, you can use the formula for the area of a rectangle:
\[ A = lw \]
Where:
- \( A \) is the area,
- \( l \) is the length,
- \( w \) is the width.
You know that the area \( A = 52.5 \) meters and the width \( w = 5 \) meters. You can rearrange the formula to solve for the length \( l \):
\[ l = \frac{A}{w} \]
Now, plug in the values:
\[ l = \frac{52.5}{5} \]
Calculating this gives:
\[ l = 10.5 \]
Therefore, the length of the rectangle is \( 10.5 \) meters.