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