Kẻ \(AH\perp DC\)
Ta có: \(S_{\Delta ADC}=\dfrac{1}{2}\times AH\times DC\)
\(135=\dfrac{1}{2}\times AH\times13,5\)
\(\Rightarrow AH=\dfrac{135\times2}{13,5}=20\left(m\right)\)
Diện tích hình thang ABCD là:
\(S_{ABCD}=\left(\dfrac{AB+DC}{2}\right)\times AH=\left(\dfrac{5,4+13,5}{2}\right)\times20=189\left(m^2\right)\)