To highlight the width as the quantity of interest in the formula for the area of a rectangle, you start with the formula for the area \( A \):
\[ A = \text{length} \times \text{width} \]
In this situation, you want to solve for the width. To do this, you can rearrange the formula as follows:
- Divide both sides of the equation by the length:
\[ \text{width} = \frac{A}{\text{length}} \]
- Substitute the values for area (\( A = 36 \) square meters) and length (\( \text{length} = 9 \) m) into the equation:
\[ \text{width} = \frac{36}{9} \]
- Calculate the width:
\[ \text{width} = 4 , \text{m} \]
So, the width of the garden will be \( 4 , \text{meters} \).