Can you answer this

Question

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of AC.

Answer 1

the diagonals of a parallelogram bisect each other

AE=EC

2x=x+2

2x-x=2

x=2

2x=4 and x+2=4

AE=4 and EC=4

AC=AE+EC

AC=4+4=8