Final answer:
The area of a tennis court with dimensions (8x-2)ft by (3x-3)ft is found by multiplying the expressions, resulting in an area of 24x^2 - 30x + 6 ft², which corresponds to Option C.
Step-by-step explanation:
The question asks for the area of a tennis court with given lengths and widths represented as algebraic expressions. The area of a rectangle is calculated by multiplying the length by the width. Therefore, we multiply the given expressions (8x - 2)ft and (3x - 3)ft to find the area.
Area = Length × Width
Area = (8x - 2)ft × (3x - 3)ft
Area = 8x(3x) + 8x(-3) + (-2)(3x) + (-2)(-3)
Area = 24x^2 - 24x - 6x + 6
Area = 24x^2 - 30x + 6
The correct representation of the area of the tennis court in square feet is therefore 24x^2 - 30x + 6 ft², which matches option C.
The correct option in the final answer is Option C.