Question

Find the area of rectangular hexagon shoes one side is r units

Answer 1

A regular hexagon is composed of six equilateral triangle.

Area of equilateral triangle = √3/4a²

Hence, area of six equilateral triangle = 6√3/4a² which is equal to area of regular hexagon.

Hence area of given regular hexagon

= 6 × √3/4 × 4²

=> 6 × √3/4 × 16

=> 6 × √3 × 4

=> 24√3 square unit

In decimals = 41.57 sq. unit (approx)