find the area of rectangle octagon a b c d e f g h having each side equal 7cm ,HC=15andAL=5cm
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Answer:
AL=5cm
We know that all sides of regular octagon are equal.
∴ AB=BC=CD=DE=EF=FG=GH=HA=7cm
⇒ HC=GD=15cm
⇒ Area of trapezium ABCH=21(AH+HC)×AL
=21(7+15)×5
=21×22×5
=55cm2
Area of trapezium ABCH= Area of trapezium GDEF
∴ Area of trapezium GDEF=55cm2
⇒ Now, are of rectangle HCDG=l×b
=15×7
=105cm2
⇒ Area of octagon ABCDEFGH= Area of trapezium ABCH+Area of trapezium GDEF+Area of rectangle HCDG
=(55+55+105)cm2
=215cm2
janukumar0702:
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