Respuesta :

The side length is 2/√3 times the apothem length, so is 10 cm. The area is that of 6 triangles, each with base 10 cm and height 5√3 cm.

.. 6*(1/2)*(10 cm)*(5√3 cm) = 150√3 cm^2
.. ≈ 259.8 cm^2