Answer:
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
Step-by-step explanation:
Area of a rectangle:
A rectangle has length l and width w. The area of a rectangle is:
[tex]A = lw[/tex]
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.
This means that [tex]l = 8x - 2, w = 3x - 3[/tex]
Which expression represents the area of the court?
The tennis court is rectangular, so
[tex]A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6[/tex]
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]