Ta có: \(S_{ADC}=S_{AGE}+S_{DGE}+S_{DEC}\)
\(=S_{ABD}+S_{ABD}+S_{ABD}=3\cdot S_{ABD}\)
=>DC=3BD
mà DC+BD=BC=22cm
nên \(CD=\dfrac{3}{4}\cdot22=16,5\left(cm\right)\)
\(S_{AED}=S_{AEG}+S_{GED}=S_{EDC}+S_{EDC}=2\cdot S_{EDC}\)
=>AE=2EC
mà AE+EC=AC=18cm
nên \(AE=\dfrac{2}{3}\cdot18=12\left(cm\right)\)