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The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3 and in clockwise order. Find the octagon's area.

 

https://latex.artofproblemsolving.com/4/b/1/4b1f42f6d7ae8fd221ac51c3b990e2a3ece240d8.png  


Enter your answer in the form x + y√z in simplest radical form.

 Jan 9, 2021
 #1
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Using the formula for the area of an octagon, the area works out to 8 + 16*sqrt(2).

 Jan 9, 2021
 #2
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The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3, and 4 in clockwise order. Find the octagon's area.

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Since I couldn't find the correct answer on the web, I'll post my answer here.

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Octagon's area              A = 11 + 12√2        ( See diagram below)

 

 Jan 9, 2021

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