Question

ABCD is a trapezium representing a plot of land.it is sub divided into three portion where line AB, EF,GH and DC are parallel. If BF=30m,FH=20m,HC=10m andGD=15m.Find AE and EG.show on above the figure

Answer 1

since AB,EF,GH and DC all are parallel. so,
$\frac{ae}{bf} = \frac{ge}{hf} = \frac{gd}{hc}$
since gd/hc =15/10=3/2
so,AE=3/2×BF=3/2×30=45m
EG=3/2×20=30m

Answer 2

Answer:

since ab,ef,gh,and DC all are parallel, so,

ae =ge=gd

bf=hf=hc

so,ae =3/2×bf=3/2×30=45m

eg=3/2×20=30m