document.write( "Question 132547: I have a 48\" square piece of plywood. I want to cut it into an octogon with all 8 sides equal length. How do I calculate this? \n" ); document.write( "
Algebra.Com's Answer #97062 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! you have to cut the corners of the square off\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the cut pieces will be 45° isosceles right triangles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the hypotenuse of a cut piece is the length of the side of the octagon\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x=\"side length of octagon\" __ x+2(x/(sqrt(2)))=48 __ x+x(sqrt(2))=48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factoring __ x(1+sqrt(2))=48 __ dividing by (1+sqrt(2)) __ x=48/(1+sqrt(2))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x is approximately 19.88 inches\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "19.875 is 19 7/8, so the ends of the cuts are 14 1/16 in from the corners of the square \n" ); document.write( " |