The value of x from the given diagram is 13. Option A is correct.
Similarity theorem:
From the given similar triangles;
Cross multiply
28(21) = (3x-11)(x+11)
(3x-11)(x+11) = 588
Expand
3x^2 + 33x - 11x - 121 = 588
3x^2+22x- 709 =0
On factorizing, the value of x is 13
Learn more on similar triangles here: https://brainly.com/question/2644832
