Answer:
D. 8 is the length of AC.
Step-by-step explanation:
We are given,
The parallelogram ABCD with BE = ED.
So, by bisection property, we have that AE = EC.
Then, AE = EC implies,
[tex]4x=x+3\\\\4x-x=3\\\\3x=3\\\\x=1[/tex]
That is, the value of x = 1.
So, length of AE = [tex]4x=4\times 1=4[/tex]
And, length of EC = [tex]x+3=1+3=4[/tex]
Thus, the length of AC = length of AE + length of EC
That is, the length of AC = 4 + 4 = 8.
Hence, option D is correct.
