Đáp án: 36cm²
Giải thích các bước giải:
${S_{ABCD}} = AB.BC$
$\begin{array}{l} {S_{BEC}} = \frac{{EB.BC}}{2} = \frac{{BC.\frac{{AB}}{2}}}{2} = \frac{{{S_{ABCD}}}}{4}\\ {S_{DAF}} = \frac{{AD.DF}}{2} = \frac{{AD.\frac{{CD}}{2}}}{2} = \frac{{{S_{ABCD}}}}{4} \end{array}$
=> $\begin{array}{l} {S_{AECF}} = {S_{ABCD}} - {S_{EBC}} - {S_{DAF}} = {S_{ABCD}} - \frac{{{S_{ABCD}}}}{4} - \frac{{{S_{ABCD}}}}{4}\\ = \frac{{{S_{ABCD}}}}{2} \end{array}$
=36cm²