High School

A rectangular garden has an area of 300 square feet. You want to cover the garden with sod, which is sold in square yards. If 1 square yard is equal to 9 square feet, write and solve a linear equation to determine how many square yards of sod you will need to cover the garden.

Answer :

To determine how many square yards of sod are needed to cover a rectangular garden with an area of 300 square feet, follow these steps:

### Convert Square Feet to Square Yards

1. **Understand the Conversion**:

- 1 square yard = 9 square feet

2. **Set Up the Equation**:

Let \( x \) be the number of square yards of sod needed. Since each square yard covers 9 square feet, the total area in square feet covered by \( x \) square yards is \( 9x \).

Therefore, the equation relating the area in square feet to the area in square yards is:

\[

9x = 300

\]

3. **Solve for \( x \)**:

\[

x = \frac{300}{9}

\]

\[

x \approx 33.33

\]

You will need approximately **33.33 square yards** of sod to cover the garden.