Question

The area of a hexagon of side 4 m each . solve the question and show

Answer 1

A regular hexagon can be divided into 6 equilateral triangles.

Area of equilateral triangle = √3/4 × a²

Hence, area of regular hexagon = area of 6 equilateral triangle = √3/4 × a² × 6

where, a² = square of side of hexagon


Hence, area =
$\frac{ \sqrt{3} }{4} \times {4}^{2} \times 6 \\ \\ = \frac{ \sqrt{3} }{4} \times 16 \times 6 \\ \\ = \sqrt{3 } \times 4 \times 6 \\ \\ = 24 \sqrt{3}$


Hence your answer is 24√3 m²