To find side $ b $ use formula:
$$ A = a \cdot b $$After substituting $A = \dfrac{ 153 }{ 4 }\, \text{cm}$ and $a = \dfrac{ 21 }{ 2 }\, \text{cm}$ we have:
$$ \frac{ 153 }{ 4 }\, \text{cm} = \frac{ 21 }{ 2 }\, \text{cm} \cdot b $$$$ b = \dfrac{ \frac{ 153 }{ 4 }\, \text{cm} }{ \frac{ 21 }{ 2 }\, \text{cm} } $$$$ b = \frac{ 51 }{ 14 } $$