document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101865>Question 1101865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One square is placed upon each other so that a regular octagon is formed, along with eight right isosceles triangles each with its hypotenuse on a side of the octagon. If the perimeter of the octagon is 12 cm, find the perimeter of the star, in cm. </SPAN>\n" );
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document.write( "The perimeter of the octagon is 12, so the length of each side is 12/8 = 3/2.<br><BR>\n" );
document.write( "In each isosceles triangle, the base is sqrt(2) times the length of each leg.  Since the base has length 3/2, each leg has length (3/2) divided by sqrt(2), or 3*sqrt(2)/4.<br><BR>\n" );
document.write( "The perimeter of the star consists of 16 of those legs; the perimeter of the star is 16*(3*sqrt(2)/4) = 12*sqrt(2). </SPAN>\n" );
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