To calculate the cost of the fencing for Mr. Rogers' garden, we can use the formula given:
\[ 7l + 2W \]
where:
- \( l \) is the length of the garden,
- \( w \) is the width of the garden,
- the cost of materials is $7 per yard.
Plugging in the values for length and width:
- Length (\( l \)) = 5 yards
- Width (\( W \)) = 2 yards
Now, substituting these values into the formula:
\[ Cost = 7l + 2W = 7(5) + 2(2) \]
Calculating each term:
\[ 7(5) = 35 \] \[ 2(2) = 4 \]
Now, sum these results:
\[ Cost = 35 + 4 = 39 \]
Thus, the total cost for the fencing material is $39.