Answer:
option A). 6( 4a^2 – 3) is the correct answer
Step-by-step explanation:
It is given that,
Six equilateral triangles are connected to create a regular hexagon.
From this we get area of all the 6 triangles have equal area.
The area of the hexagon is 24a^2 – 18 (given)
To find area of 1 triangle
Area of 6 equal triangle = 24a^2 – 18
Area of 1 triange = [24a^2 – 18 ]/6 = 4a^2 – 3
Area of the hexagon based on the area of a triangle
If area of 1 triangle = 4a^2 – 3 then area of hexagon = 6( 4a^2 – 3)
Therefore option A). 6( 4a^2 – 3) is the correct answer
