document.write( "Question 203993This question is from textbook Mathematics For Technical trades
\n" ); document.write( ": Here is a story problem I do not have any idea how to firgure out can you help?\r
\n" ); document.write( "\n" ); document.write( "You are building a poker table. You want it to be an octagon to seat 8 players. Each of the sides is to be \"x\" inches long where the players will sit. If you cut the corners off at 45-degree angles to make the top,and the size of the wood is 54 x 54 inches, find the length of each side. Round the answer to the nearest 1/8 of an inch. Thanks Janet \n" ); document.write( "
Algebra.Com's Answer #153941 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
x is the length of the hypotenuse of the isosceles right triangle that is cut from each corner of the 54\" square\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "by Pythagoras, the length of a side of the triangle is [x / sqrt(2)]\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the 54\" length consists of one side of the octagon (x) plus two sides of the cut-out corner triangles (2[x / sqrt(2)])\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x + 2[x / sqrt(2)] = 54 ___ x + x[sqrt(2)] = 54 ___ x = 54 / [1 + sqrt(2)]\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 22.37 (approx) ___ or 22 3/8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "good luck with the table \n" ); document.write( "
\n" );