Question

find the area of hexagonal table top with each side 8cm

Answer 1

Above is the figure of a hexagon.

Which is made up of 6 equilateral triangles with a side of length 8 cm.

Area of an equilateral triangle
$= \frac{ \sqrt{3} }{4} {side}^{2}$

$= \frac{ \sqrt{3} }{4} \: {8}^{2}$

$= 16 \: \sqrt{3} \: c {m}^{2}$

Area of hexagon
= number of equilateral triangles x area of one equilateral triangle

= 6 x $16 \: \sqrt{3} \: c {m}^{2}$

$= 96 \: \sqrt{3} \: c {m}^{2}$