Posted by Anonymous on .
A regular heptagon has an apothem of approximately 6.5 ft and a perimeter of approximately 44.1 ft . Based on these measurements, what is the area of the heptagon?

geometry 
Reiny,
if the perimeter of the heptagon (7 sides) is appr 44.1 ,then each side is appr 6.3
look at one of the 7 equal isosceles triangles that can be formed
area of one of those = (1/2)(6.3)(6.5) = 20.475
so the area of the heptagon is 7(20.475) = 143.325
or
appr 143.3