Kẻ đường cao AH
\(BD=BC+CD=54+25=79\left(cm\right)\)
\(S_{ACD}=\dfrac{1}{2}AH\cdot CD=\dfrac{1}{2}\cdot AH\cdot25=366,5\left(cm^2\right)\\ \Rightarrow AH=\dfrac{366,5}{12,5}=\dfrac{733}{25}\left(cm\right)\\ \Rightarrow S_{ABD}=\dfrac{1}{2}\cdot AH\cdot BD=\dfrac{1}{2}\cdot\dfrac{733}{25}\cdot79=\dfrac{57907}{50}\left(cm^2\right)\)