To find the cost of the fence around Mr. Rodriguez's garden, we need to evaluate the expression \( 7(l + 2w) \) given that the length \( l \) is 5 yards and the width \( w \) is 2 yards.
First, we substitute the values into the expression:
\[ l + 2w = 5 + 2(2) \]
Calculating \( 2(2) \):
\[ 2(2) = 4 \]
Now substituting this back into the equation:
\[ l + 2w = 5 + 4 = 9 \]
Now we multiply by 7 to find the total cost:
\[ 7(l + 2w) = 7(9) = 63 \]
Thus, the cost for the fence is $63.
The answer is: $63