A square with side length x is inscribed in a right triangle with sides of length 3,4 , and 5 so that one vertex of the square coincides with the right-angle vertex of the triangle. A square with side length y is inscribed in another right triangle with sides of length 3,4 , and 5 so that one side of the square lies on the hypotenuse of the triangle. What is \dfrac{x}{y} ?
Answer Choices
A. \dfrac{12}{13}
B. \dfrac{35}{37}
C. 1
D. \dfrac{37}{35}
E. \dfrac{13}{12}