∵E,F,G,H,是四边形ABCD各边中点∴HG= 1 2 AC,EF= 1 2 AC,GF=HE= 1 2 BD∴四边形EFGH的周长是HG+EF+GF+HE= 1 2 (AC+AC+BD+BD)= 1 2 ×(20+20+20+20)=40cm故选B.