Final answer:
To determine the cost of the landscaping project, calculate the area of the yard by multiplying its length by its width and then multiply the resulting area by the cost per square foot. The total cost calculated does not match any of the provided options, indicating there might be a mistake in the options given.
Step-by-step explanation:
The cost of the landscaping project can be calculated by first determining the area of the backyard and then multiplying that by the cost per square foot as given by the contractor. To find the area, you would multiply the length (17 feet) by the width (19 feet).
Area = Length × Width = 17 feet × 19 feet = 323 square feet
Now, to find the total cost, you multiply the area by the cost per square foot:
Total Cost = Area × Cost per square foot = 323 square feet × $12/square foot
Total Cost = $3,876
To find the answer, you would look at the options given and choose the one closest to $3,876. However, none of the options provided match this result. There appears to be a mistake as the correct option is not listed. Always ensure to double-check your calculations and the available options for accuracy.