Find the area of the hexagon ABCDEF given below Gna that AD D=8 cm Al=6 cm Al=5 cm,AH=3 cm:AG=2.5 cm and TG BIL, El and CJ are perpendicular on diagonal AD from the vertices F B E and C Respectively
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=30.5 cm²
Step-by-step explanation:
Find the area of the hexagon ABCDEF given below Gna that AD D=8 cm AJ=6 cm Al=5 cm,AH=3 cm:AG=2.5 cm and TG BIL, El and CJ are perpendicular on diagonal AD from the vertices F B E and C Respectively
1. AG=2.5 cm and FG=3cm
So ar( ΔAFG)=1/2*(2.5*3)=7.5/2=3.75 cm²
shape 2:
ar( ΔABH)=AH*HB/2=3*3/2=4.5 cm²
Shape3:
ar( traEFIG)= (3+4)*IG/2
=7*(AI-AG)/2=(5-2.5)*7/2=2.5*7/2=8.75 m²
Shape 4:
ar(Trap HBCJ)=(3+2)*HJ/2=5*(AJ-AH)/2
=5*(6-3)/2=7.5
5. ar(ΔEID)=4*ID/2=4*(8-6)/2=4 cm²
6. ar(ΔCDJ)=2*(8-6)/2=2 cm²
Total area=3.75+4.5+8.75+7.5+4+2
=30.5 cm²
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30.5 cm².....
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