Question

practice question 3: rebecca is planning to install sod in her backyard, which is 18.2 m by 9.8 m. if sod costs $0.28/square foot, how much will it cost to sod the backyard?

Explanation:

Step1: Calculate the area in square meters

The backyard is a rectangle, so the area \( A \) in square meters is length times width.
\( A = 18.2 \, \text{m} \times 9.8 \, \text{m} = 178.36 \, \text{m}^2 \)

Step2: Convert square meters to square feet

We know that \( 1 \, \text{m} = 3.28084 \, \text{ft} \), so \( 1 \, \text{m}^2=(3.28084)^2 \, \text{ft}^2\approx 10.7639 \, \text{ft}^2 \)
So the area in square feet is \( 178.36 \, \text{m}^2\times10.7639 \, \text{ft}^2/\text{m}^2\approx 1920.73 \, \text{ft}^2 \)

Step3: Calculate the total cost

The cost per square foot is \( \$0.28 \), so the total cost \( C \) is area in square feet times cost per square foot.
\( C = 1920.73 \, \text{ft}^2\times\$0.28/\text{ft}^2\approx \$537.80 \)

Answer:

\(\$537.80\) (approximate, depending on rounding during steps)