\(\Delta OIF\infty\Delta A'B'F\Rightarrow\dfrac{OF}{A'F}=\dfrac{OI}{A'B'}\)
\(\Rightarrow\dfrac{OF}{OF-OA'}=\dfrac{AB}{A'B'}\left(2\right)\)
(1,2) \(\Rightarrow\dfrac{OF'}{OF-OA'}=\dfrac{OA}{OA'}\Rightarrow OA'\approx1,7\)
=> A'B' \(\approx1,1\) cm