解:设CE=x,则BE=0.5-x,由题意可知:CF=CE=x,
∴S△CFE=x2 ,S△ABE=×0.5×(0.5-x)
S四边形AEFD=S正方形ABCD - S△CFE - S△ABE
=0.52 - x2 - ×0.5×(0.5-x)
=0.25- x2 - ×0.5×(0.5-x)
由题意可得:
30×x2+20××0.5×(0.5-x)+10×[0.25- x2- ×0.5×(0.5-x)]+0.35=4
化简得:10x2 -2.5x+0.1=0
b2-4ac=6.25-4=2.25
∴x= ,∴
x1=0.2,x2=0.05(不符合题意,舍去)
答:CE的长应为0.2米
不会嘛