document.write( "Question 198627: find the area of a regular octagon with a perimeter of 96 centimeters \n" ); document.write( "
Algebra.Com's Answer #149163 by anantha(86) ![]() You can put this solution on YOUR website! sol: \n" ); document.write( "octagon having 8 sides \n" ); document.write( "let side be x \n" ); document.write( "perimeter=x+x+x+x+x+x+x+x=8x \n" ); document.write( "according to the problem perimeter=96 centimeters \n" ); document.write( "8x=96 \n" ); document.write( "x=96/8=12 centimeters \n" ); document.write( "side=12 cm \n" ); document.write( "area of the octagon=8*area of equiliteral triangle \n" ); document.write( "area of an equiliteral triangle=root3/4 *(side^2) \n" ); document.write( "=root3/4*(12^2) \n" ); document.write( "root3/4*(12*12) \n" ); document.write( "=root3*3*12=36*root3 \n" ); document.write( "now area of octagon=8*36*root3=288 *root3 cm^2 \n" ); document.write( " |