Question

1. 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, calculate how much it will cost per square metre. how much will the sod cost?

Explanation:

Step1: Convert cost per square foot to per square meter

We know that 1 foot = 0.3048 meters, so 1 square foot = (0.3048 m)² = 0.09290304 m².
To find the cost per square meter, we divide the cost per square foot by the number of square meters in a square foot:
\( \frac{0.28\ \text{USD/ft}^2}{0.09290304\ \text{m}^2/\text{ft}^2} \approx 3.014\ \text{USD/m}^2 \)

Step2: Calculate the area of the backyard

The backyard is a rectangle with length \( l = 18.2\ \text{m} \) and width \( w = 9.8\ \text{m} \). The area \( A \) of a rectangle is \( A = l \times w \):
\( A = 18.2 \times 9.8 = 178.36\ \text{m}^2 \)

Step3: Calculate the total cost

Multiply the area by the cost per square meter:
\( \text{Total Cost} = 178.36\ \text{m}^2 \times 3.014\ \text{USD/m}^2 \approx 537.58\ \text{USD} \)

Answer:

The cost per square meter is approximately \$3.01, and the total cost of the sod is approximately \$537.58.