A regular polygon has an even number of sides. If the product of the length of its side and the distance between two opposite sides is 1/4th of its area, find the number of sides it has.

• s * d = 1/4 (area of polygon) //d= distance b/w two opposite sides of polygon
  
  s * 2a = 1/4( a*p)/2 // a= apothem , p=perimeter
  
  s * 2a = 1/4(a*s*n)/2 // s= length of side of polygon, n= no. of sides
  
  n=16.
• 7 years agoHelpfull: Yes(2) No(3)