Question 42
In the isosceles right triangle $A O B$, the points $P, Q$ and $S$ are chosen on the sides $O B, O A$ and $A B$, respectively, so that $P Q R S$ is a square. If the lengths of $O P$ and $O Q$ are $a$ and $b$, respectively, and the area of the square $P Q R S$ is $2/5$ of the area of the triangle $A O B$, determine the value of $a / b$.
