document.write( "Question 1072271: If the perimeter of a regular polygon is 63 feet and an extiror angle of 40° what is the length of each side? \n" ); document.write( "
Algebra.Com's Answer #687169 by srinivas.g(540) You can put this solution on YOUR website! Exterior angle = 40 degrees \n" ); document.write( "Sum of all exterior angles in a polygon = 360 degrees \n" ); document.write( " For n sided polygon , there will be n exterior angles \n" ); document.write( " Hence for n sides, Sum of all exterior angles = n*40 \n" ); document.write( " Hence n*40= 360 \n" ); document.write( " n= 360/40 \n" ); document.write( " =9 \n" ); document.write( " there will be 9 sides \n" ); document.write( " Let lengtt of each side be x feet \n" ); document.write( " Hence perimeter = x+x+x+x+x+x+x+x+x \n" ); document.write( " = 9x \n" ); document.write( " But , perimeter = 63 feet \n" ); document.write( " 9x =63 \n" ); document.write( " x= 63/9 \n" ); document.write( " = 7 feet \n" ); document.write( "Hence length of each side = 7 feet\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |