What is the area of this hexagon?

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Answer 1 · 2016-01-26T11:06:53

The are of an octagon is #2a^2(1+sqrt(2))# where #a# is the side

to find the side from the height we have that #h=a(1+sqrt(2))# so:

#10=a(1+sqrt(2))#

#a=10/(1+sqrt(2))#

plugging that into the equation for the area we have:

#A=2*100/(1+sqrt(2))^2*(1+sqrt(2))#

That simplifies to:

#A=200/(1+sqrt(2))=82.8427#