The image above is a hexagon.

To compute the area of a hexagon, one essential parameter is needed and this parameter is length of side (a).

The formula for calculating the area of a hexagon:

A = ^{(a}^{2})^{3}^{√3} / _{2}

Where;

A = Area of the hexagon

a = Length of side

Let’s solve an example;

Find the area of a hexagon when the length of side is 35 cm.

A = ^{(a}^{2})^{3}^{√3} / _{2}

A = ^{(35}^{2})^{3}^{√3} / _{2}

A = ^{1225 x 3}^{(1.73)} / _{2}

A = ^{1225 x 5.196} / _{2}

A = ^{6365.287} / _{2}

A = 3182.64

Therefore, the **area of the hexagon** is **3182.64 cm ^{2}.**

**Calculating the length of side (a) using the area of the hexagon.**

a = √(^{2A} / _{3√3})

Where;

a = length of side

A = Area of the hexagon

Let’s solve an example;

Given that the area of the hexagon is 120 cm** ^{2}**. Find the length of side?

This implies that;

A = Area of the hexagon = 120 cm^{2}

a = √(^{2A} / _{3√3})

a = √(^{2 x 120} / _{5.196})

a = √(^{240} / _{5.196})

a = √46.189

a = 6.796

Therefore, the **length of side (a)** is **6.796 cm.**