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An artist has been commissioned to make a stained glass window in the shape of a regular octagon. The octagon must fit inside a 28 in square space. Determine the length of each side of the octagon. Round to the nearest hundredth of an inch. 28 in

Answer :

We have the next equation

[tex]28=x+\frac{x}{\sqrt[]{2}}+\frac{x}{\sqrt[]{2}}[/tex]

we factorize the x

[tex]28=x(1+\frac{2}{\sqrt[]{2}})[/tex]

we isolate the x

[tex]x=\frac{28}{1+\frac{2}{\sqrt[]{2}}}=11.60[/tex]

The side of the octagon is 11.60 in

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