What is the area of the regular hexagon shown below? Answer in complete sentences and include all relevant calculations.

6381.4 cm²

Step-by-step explanation:

Applying,

A = n/2(a×h) Equation 1

Where A = Area of the regular polygon, n = number of sides of the polygon, a = length of one side of the polygon, h = length of the apothem

But,

a = 2htan∅ Equation 2

Where ∅ = angle substands at the center by the regular polygon.

∅ = 360/n Equation 3

Substitute equation 3 into equation 2

a = 2htan(360/n) Equation 4

Substitute equation 4 into equation 1

A = n/2[2htan(360/n)×h) Equation 5

From the question,

Given: n = 6 side, h = 24.78 cm

Substitute these values into equation 5

A = 6/2[24.78×24.78×2×tan(360/6)]

A = 3[24.78×(24.78×2×tan60°)]

A = 6381.4 cm²

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: