解:过点b做bg垂直af于g,过点e做eh垂直af于h
ah=af-hf=af-ed=15.75-4.15=11.6
在Rt△ahe中:he=√ae²-ah²=√24.8²-11.6²≈21.92(用计算器算的)
∴cf=cd-fd=cd-he=38.5-21.92=16.58
∴五边形abcde的面积=梯形abcf的面积+梯形afde的面积
=1/2×cf×(bc+af)+1/2×fd×(af+ed)
=1/2×16.58×(3.75+15.75)+1/2×21.92×(15.75+4.15)
=161.655+218.104
=379.759
^-^