To find the cost of the fence around Mr. Rodriguez's vegetable garden, we first need to determine the perimeter of the garden using the given dimensions. The formula for the perimeter \( P \) of a rectangle is:
\[ P = 2L + 2W \]
Where \( L \) is the length and \( W \) is the width.
Given:
- Length \( L = 5 \) yards
- Width \( W = 2 \) yards
Substituting these values into the formula for perimeter:
\[ P = 2(5) + 2(2) = 10 + 4 = 14 \text{ yards} \]
Next, we calculate the cost of the fencing. The cost is given at $7 per yard. Therefore, the total cost \( C \) can be calculated using the formula:
\[ C = \text{Cost per yard} \times \text{Perimeter} \]
Substituting in the values:
\[ C = 7 \times 14 = 98 \]
Thus, the cost for the fence around Mr. Rodriguez's garden is $98.