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area of octagonal surface=trapizium cdef+trapizium abgh+the oblong bcfg
=6/2(12+5)+6/2(12+5)+(12*5)=102+60=162m^2
=6/2(12+5)+6/2(12+5)+(12*5)=102+60=162m^2
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Area of octagon is Area of trapezium CDEF + trapezium ABGH + rectangle BCGF
= 2*Ar(CDEF)+Ar(ABGH) (Since CDEF and ABGH have similar measures)
= [tex] 2( \frac{a+b}{2}*h)+2(l+b) = 2( \frac{a+b}{2}*h + (l+b)) = 2( \frac{5+12}{2}*6+(12+5)) [/tex]
= 2(17*3+17)
= 136
= 2*Ar(CDEF)+Ar(ABGH) (Since CDEF and ABGH have similar measures)
= [tex] 2( \frac{a+b}{2}*h)+2(l+b) = 2( \frac{a+b}{2}*h + (l+b)) = 2( \frac{5+12}{2}*6+(12+5)) [/tex]
= 2(17*3+17)
= 136
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