This is the concept of surface area of the solid figures, we are required to find the length of the side of a hexagonal base pyramid. The base area is given by 166.28 ft^2. This implies that the base area of the polygon is 166.28 ft^2 To get the length of the sides we proceed as follows;
Area of hexagon is given by: Area=(a)[3sqrt3]/2 where a is the side length this can be written as: Area=2.6a^2 Hence; 2.6a^2=166.28 dividing both sides by 2.6 we get: a^2=64.00012 thus a=sqrt(64.0012)=8.000075 ft therefore the side length is 8 ft