Answer
$l_{max} = 13 \mu m$
Work Step by Step
To find the maximum dimension, use the formula
$l_{max} = \sqrt \frac{A}{N} $
Where
Size of chips, $A = 0.0254 m \times 0.0222 m$
Numbers of transistors on the chip, $N = 3.5 \times 10^6$
$l_{max} = \sqrt \frac{0.0254 m \times 0.0222 m}{3.5 \times 10^6} $
$l_{max} = 1.3 \times 10^{-5}$
$l_{max} = 13 \mu m$