To find the cost of the fencing for Mr. Rodriguez's garden, we first need to calculate the perimeter of the garden using the formula \(7(l + 2w)\), where \(l\) is the length and \(w\) is the width of the garden.
Given:
- Length \(l = 5\) yards
- Width \(w = 2\) yards
First, we calculate \(l + 2w\):
\[ l + 2w = 5 + 2 \cdot 2 = 5 + 4 = 9 \]
Next, we multiply this value by 7 to find the cost:
\[ 7(l + 2w) = 7 \cdot 9 = 63 \]
Therefore, the cost for the garden is $63.