1 Answer

Senorsmile · Answer 1 · 2023-02-07T15:43:05+0000

A regular hexagon has 6 sides.

The area of a regular hexagon given the apothem is given by:

$\text{ Area (A) =}(1)/(2)\text{ }*\text{ Perimeter of the hexagon}*\text{ apothem}$

The perimeter of a hexagon is calculated by:

$\begin{gathered} \text{ Perimeter (P) = number of sides x side length} \\ \text{ = 6 x 12 = 72cm} \end{gathered}$

Hence,

$\text{ Area (A) =}(1)/(2)*72*10.39=374.04cm^2$

Therefore, the area of the regular hexagon is 374.04cm²

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