<prompt> Acha ABCD iwe sehemu ya pembe nne iliyosonga, na M na N ziwe viini vya overlineAC na overlineBD, mtawalia. Halafu kuna k mara kwa mara iliAB2 BC2 CD2 DA2 AC2 BD2 k cdot MN2.Tafuta k.asyukubwa wa kitengo sentimita 0.8;jozi A, B, C, D, M, N;A 0,0;B 4,0.5;C 5,-3;D -2,-2.5;M A C2;N B D2;kuchoraA--B--C--D--mzunguko;kuchoraA--C;choraB--D;kuchoraM--N;leboA, A, NW;leboB, B, NE;leboC, C, SE;leboD, D, SW;nukta M, M, NE;nukta N, N, NW;asy  <response>: Hebu mathbfa overrightarrowA, n.k. KishaanzaalignAB2 mathbfa - mathbfb2 mathbfa - mathbfb cdot mathbfa - mathbfb mathbfa cdot mathbfa - 2 mathbfa cdot mathbfb mathbfb cdot mathbfb.mwishoalignVile vile,anzaalignBC2 mathbfb cdot mathbfb - 2 mathbfb cdot mathbfc mathbfc cdot mathbfc, CD2 mathbfc cdot mathbfc - 2 mathbfc cdot mathbfd mathbfd cdot mathbfd, DA2 mathbfd cdot mathbfd - 2 mathbfd cdot mathbfa mathbfa cdot mathbfa, AC2 mathbfa cdot mathbfa - 2 mathbfa cdot mathbfc mathbfc cdot mathbfc, BD2 mathbfb cdot mathbfb - 2 mathbfb cdot mathbfd mathbfd cdot mathbfd,mwishoalignhivyoanzaalignAB2 BC2 CD2 DA2 - AC2 - BD2 mathbfa cdot mathbfa mathbfb cdot mathbfb mathbfc cdot mathbfc mathbfd cdot mathbf d quad - 2 mathbfa cdot mathbfb 2 mathbfa cdot mathbfc - 2 mathbfa cdot mathbfd - 2 mathbf b cdot mathbfc 2 mathbfb cdot mathbfd - 2 mathbfc cdot mathbfd.mwishoalignMwishowe,anzaalignMN2 kushoto fracmathbfa mathbfc2 - fracmathbfb mathbfd2 kulia2 frac14 mathbfa mathbfc - mathbfb - mathbfd2 frac14 mathbfa mathbfc - mathbfb - mathbfd cdot mathbfa mathbfc - mathbfb - mathbfd frac14 mathbfa cdot mathbfa mathbfb cdot mathbfb mathbfc cdot mathbfc mathbfd cdot mathbfd quad - 2 mathbfa cdot mathbfb 2 mathbfa cdot mathbfc - 2 mathbfa cdot mathbfd - 2 mathbf b cdot mathbfc 2 mathbfb cdot mathbfd - 2 mathbfc cdot mathbfd.endalignKwa hivyo, k 4. 