<p class="ql-block"><span style="color:rgb(237, 35, 8);">解:连接BE，设S△BEO=a</span></p><p class="ql-block"><span style="color:rgb(237, 35, 8);">∴S△BCD=(a+12)✘2=2a+24</span></p><p class="ql-block"><span style="color:rgb(237, 35, 8);">根据梯形面积一半模型可得:S梯=(a+40)✘2=2a+80</span></p><p class="ql-block"><span style="color:rgb(237, 35, 8);">∴S△ABD=S梯-S△BCD=2a+80-(2a+24)=56</span></p><p class="ql-block"><span style="color:rgb(237, 35, 8);">∴S△ADO=56-40=16</span></p><p class="ql-block"><span style="color:rgb(237, 35, 8);">根据蝴蝶模型:16a=40✘12</span></p><p class="ql-block"><span style="color:rgb(237, 35, 8);">a=30</span></p><p class="ql-block"><span style="color:rgb(237, 35, 8);">∴S梯=(40+30)✘2=140</span></p><p class="ql-block"><span style="color:rgb(57, 181, 74);">——河南郭健</span></p>