Question

Hi please help! Extra points!

Answer 1

Answer:

The area of the hexagon is approximately 55.43 square feet

Step-by-step explanation:

The given apothem of the hexagon, a = 4 ft.

The area of an hexagon given the apothem, 'a', is found as follows;

The area of an hexagon of side length, s, A = ((3·√3)/2)·s²

s = a·2·tan(180/n)

∴ A = ((3·√3)/2)·(a·2·tan(180/n))²

For an hexagon, n = 6

∴ A = ((3 × √3)/2) × (4 × 2 × tan(180/6))² ≈ 55.43

The area of the hexagon, A ≈ 55.43 ft.²