a: \(AH=\dfrac{2}{3}\times BC=\dfrac{2}{3}\times6=4\left(cm\right)\)
\(S_{ABC}=\dfrac{1}{2}\times AH\times BC=\dfrac{1}{2}\times4\times6=12\left(cm^2\right)\)
b: AE=2/3EC
=>\(EC=\dfrac{3}{2}AE\)
=>\(S_{BEC}=\dfrac{3}{2}\times S_{ABE}\)
=>\(\dfrac{S_{BEC}}{S_{ABE}}=150\%\)