1 Answer

John Rasch · Answer 1 · 2020-02-27T09:09:14+0000

Answer:

A = 600√3 cm²

Explanation:

Diagonals divide a regular hexagon into six equilateral triangles (look at the picture).

The formula of an area of an equilateral triangle with side a:

$A_\triangle=(a^2\sqrt3)/(4)$

Substitute a = 20 cm:

$A_\triangle=(20^2\sqrt3)/(4)=(400\sqrt3)/(4)=100\sqrt3\ cm^2$

The area of a regular hexagon is equal six times the area of a triangle:

$A=6\cdot100\sqrt3\ cm^2=600\sqrt3\ cm^12$