using 100 ft of fence material an dbuilding a regular gexagon garden, what is the area of the garden?
divide the hexagon into six equilateral triangles. Each triangle has a base of length s, height s/2 √3
So, the area of all six triangles is 6 * 1/2 * s * s/2 √3 = 3√3/2 s^2
If we use 100' of fence, each side is 100/6 ft long
A = 3√3/2 (50/3)^2 = 1250/√3= 721.69