document.write( "Question 1026847: How do I find a side length of a polygon if I only know the area? I specifically need to find the side lengths of a regular pentagon with an area of 49^2 meters. \n" ); document.write( "
Algebra.Com's Answer #642160 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! How do I find a side length of a polygon if I only know the area? I specifically need to find the side lengths of a regular pentagon with an area of 49^2 meters. \n" ); document.write( "----------------- \n" ); document.write( "If you mean 49 sq meters: \n" ); document.write( "--- \n" ); document.write( "For any regular polygon: \n" ); document.write( "Area = ns^2*cot(180/n)/4 where n = # of sides and s = side length \n" ); document.write( "49 = 5s^2*cot(36)/4 \n" ); document.write( "s^2 = (196/5)*tan(36) \n" ); document.write( "s =~ 5.3367 meters \n" ); document.write( "===================== \n" ); document.write( "w/o using the formula: \n" ); document.write( "--- \n" ); document.write( "The pentagon is 5 isosceles triangles, each with a central angle of 72 degs and an area of 49/5 sq meters. \n" ); document.write( " |