Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that: [tex]AE=CE[/tex].
We substitute the expression for x, we get:
[tex]11x-3=12-4x[/tex].
Group similar terms to get:
[tex]11x+4x=12+3[/tex].
[tex]15x=15[/tex].
[tex]x=1[/tex]
AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16
