Verified Answer :

The length of each diagonal is 1, 1. The correct answer
between all the choices given is the second choice or letter B. I am hoping
that this answer has satisfied your query and it will be able to help you in
your endeavor, and if you would like, feel free to ask another question.

Answer:

Option B is correct.

Step-by-step explanation:

Given:

ABCD is a Rectangle.

AC = \(\frac{3c}{9}\)    and BD = 4 - c

To find: length of each Diagonal that is AC and BD

Given Line Segments are the diagonal of the rectangel ABCD.

We know that Diagonal of the Rectangles are equal in Length.

⇒ AC = BD

   3c/9 = 4 - c

   3c = 9 ( 4 - c )

   3c = 36 - 9c

   3c + 9c = 36

  12c = 36

  c = 3

So, AC = 3c/9 = 1     and BD = 4 - 3 = 1'

Therefore, Option B is correct.