In the given diagram, the value of AC is 24. The correct option is B. 24
Properties of rectangle
From the question, we are to determine the value of AC
From one of the properties of a rectangle, we have that
The diagonals of a rectangle are equal and bisect each other.
Then, in the given diagram
AC = DB
Thus,
3x - 6 + 3x - 6 = 2x + 2x
6x -12 = 4x
6x - 4x = 12
2x = 12
x = 12/2
x = 6
In the diagram,
AC = 3x - 6 + 3x - 6
AC = 3(6) -6 + 3(6) - 6
AC = 18 - 6 + 18 - 6
AC = 24
Hence, the value of AC is 24. The correct option is B. 24
Learn more on the Properties of a rectangle here: https://brainly.com/question/23008020
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