<prompt> Acha ABCDEF iwe heksagoni ya kawaida, na G,H,I iwe sehemu za kati za pande AB,CD,EF mtawalia. Ikiwa eneo la pembetatu GHI ni 225, ni eneo gani la hexagon ABCDEF?  <response>: Tunaanza na mchoro wa habari iliyotolewa: asyukubwa 4cm;halisi xsqrt3;jozi d2,0; jozi c1,x; jozi b-1,x; jozi a-d; jozi f-c; jozi e-b;jozi gab2; jozi hcd2; jozi ief2;choraa--b--c--d--e--f--a;nukta a; nukta b; nukta c; nukta d; nukta e; nukta f; nukta g; nukta h; nukta i;chorag--h--i--g;leboA,a,W;leboB,b,NNW;leboC,c,NNE;leboD,d,E;leboE,e,SSE;leboF,f,SSW;leboG,g,WNW;leboH,h,ENE;leboI,i,S;asyIli kuongeza ulinganifu katika mchoro, tunaweza kuchora katika vilalo virefu vya ABCDEF na vile vile taswira ya kioo ya pembetatu GHI katika vilaza hivi:asyukubwa 4cm;halisi xsqrt3;jozi d2,0; jozi c1,x; jozi b-1,x; jozi a-d; jozi f-c; jozi e-b;jozi gab2; jozi hcd2; jozi ief2;kujazag--h--i--mzunguko,kijivu;choraa--b--c--d--e--f--a;nukta a; nukta b; nukta c; nukta d; nukta e; nukta f; nukta g; nukta h; nukta i;chorag--h--i--g;kuchoraa--d, dashed;kuchorab--e, dashed;kuchorac--f, dashed;chora-g---h---i---g, dashed;leboA,a,W;leboB,b,NNW;leboC,c,NNE;leboD,d,E;leboE,e,SSE;leboF,f,SSW;leboG,g,WNW;leboH,h,ENE;leboI,i,S;asyMistari hii ya ziada inagawanya ABCDEF katika 24 congruent equilateral triangles, ambapo triangle GHI inashughulikia 9 haswa. Kwa hivyo, kila pembetatu ina eneo frac225925, na heksagoni ABCDEF ina eneo 24cdot 25600. 