<prompt> Katika mstatili ABCD, pembe C inakatwa kwa overlineCF na overlineCE, ambapo E iko kwenye overlineAB, F iko kwenye muhtasariAD, BE6, na AF2. Pata eneo la ABCD.asykuagiza olympiad; kuagiza jiometri; ukubwa 150; defaultpenlinewidth0.8; dotfactor4;urefu halisi 2 6sqrt3 - 2, upana 6sqrt3;choraasili--urefu,0--urefu, upana--0,upana--mzunguko;choraurefu, upana--0,2urefu, upana--urefu - 6,0;nuktaA,asili,SW; nuktaB,urefu,0,SE; nuktaC,urefu,upana,NE; nuktaD,0,width,NW; nuktaF,0,2,W; nuktaE,urefu - 6,0,S;asy  <response>: Kutoka 30circ-60circ-90circ pembetatu CEB, tuna BC6sqrt3. Kwa hivyo, FDAD-AF6sqrt3-2. Katika 30circ-60circ-90circ pembetatu CFD, CDFDsqrt318-2sqrt3. Eneo la mstatili ABCD ni BCCDleft6sqrt3kulialeft18-2sqrt3right108sqrt3-36. 