Explanation:
This hexagon is made up of 12 of the triangles shown.....
find the area of the triangle and multiply by 12 ...
to find the area of the triangle = 1/2 * base * height
you will need Pythagorean theorem for right triangles to calculate the base length:
3.5^2 = b^2 + 3^2
show b = sqrt (3.25 )
then TOTAL area of the hexagon is 12 X 1/2 * sqrt(3.25)(3) = 32.4 units^2