What is the fraction represented by 0.1 repeated

In the rectangle below ac=30 units what is de

Which of the choices shown could be used to prove that aacp=abcp ?

What are the solutions of the equation? 6x^2 + 11x + 4 = 0 a. 4/3, 1/2 b. -4/3, -1/2 c. 4/3, -1/2 d. -4/3, 1/2