Question

A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.Which expression represents the area of the court?

Answer 1

Answer:

The expression that represents the area of the court is: $24x^2 - 30x + 6$

Step-by-step explanation:

Area of a rectangle:

A rectangle has length l and width w. The area of a rectangle is:

$A = lw$

A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.

This means that $l = 8x - 2, w = 3x - 3$

Which expression represents the area of the court?

The tennis court is rectangular, so

$A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6$

The expression that represents the area of the court is: $24x^2 - 30x + 6$