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To find the cost of the fence around Mr. Rodriguez's vegetable garden, we can use the expression \( 7(l + 2w) \).
Given:
- Length (\( l \)) = 5 yards
- Width (\( w \)) = 2 yards
First, we need to compute \( l + 2w \):
\[
l + 2w = 5 + 2(2) = 5 + 4 = 9
\]
Now, we can substitute this value into the expression and calculate the cost:
\[
7(l + 2w) = 7(9) = 63
\]
Thus, the cost for the fence is **$63**.