document.write( "Question 1165390: An artist has been commissioned to make a stained glass window in the shape of a regular octagon. The octagon must fit inside a 28in square space. Determine the length of each side of the octagon. Round to the nearest hundredth of an inch.
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Algebra.Com's Answer #790056 by greenestamps(13216)\"\" \"About 
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\n" ); document.write( "Picture the regular octagon as the 28-inch square, with isosceles right triangles cut off each corner.

\n" ); document.write( "If s is the length of each side of the octagon, then each leg of each of the isosceles triangles is \"s%2Fsqrt%282%29\".

\n" ); document.write( "Then the 28-inch side of the square is composed of the legs of two of the isosceles triangles and one side of the octagon. Its length is\n" ); document.write( "\"s%2B2%28s%2Fsqrt%282%29%29+=+s%2Bs%2Asqrt%282%29+=+s%281%2Bsqrt%282%29%29\"

\n" ); document.write( "So

\n" ); document.write( "\"s%281%2Bsqrt%282%29%29+=+28\"
\n" ); document.write( "\"s+=+28%2F%281%2Bsqrt%282%29%29\"

\n" ); document.write( "Use a calculator and round as directed.

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