To find the cost of the materials for the border around Gabrielle's garden, we will use the formula provided:
\[ \text{Cost} = 1.50(2l + 2w) \]
where \( l \) is the length and \( w \) is the width of the garden.
Given:
- \( l = 4 \) yards
- \( w = 3 \) yards
Let's substitute these values into the formula:
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Calculate the perimeter of the garden: \[ 2l + 2w = 2(4) + 2(3) \] \[ = 8 + 6 \] \[ = 14 \text{ yards} \]
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Now, calculate the total cost: \[ \text{Cost} = 1.50(14) \] \[ = 21.00 \]
Therefore, the cost for the border around Gabrielle's garden is $21.00.