Final answer:
By multiplying the given dimensions of a singles tennis court ((8x – 2) ft by (3x – 3) ft), the area is found to be 24x² - 30x + 6 sq.ft. However, this answer does not match any of the provided choices, indicating a potential typo in the options.
Step-by-step explanation:
To determine which expression represents the area of a singles tennis court with the given dimensions, you need to use the equation for the area of a rectangle, which is length × width. In this problem, the length is given as (8x – 2) ft and the width as (3x – 3) ft.
The expression for the area is calculated by multiplying the length by the width:
Area = (8x – 2) × (3x – 3)
Distributing the terms gives us:
Area = 8x×3x + 8x×(-3) + (-2)×3x + (-2)×(-3)
Area = 24x² - 24x - 6x + 6
Combining like terms:
Area = 24x² - 30x + 6
However, none of the answer choices match this expression exactly. It appears there may have been a typo in the possible answers given. Make sure to review the problem or check for any corrections to the answer choices.