Answer:
Answer is Area= 166.08^2
Hexagon has 6 sides
Lets focus on 1 and say the height is 8 as they look like equilateral triangles.
We cna work out shaded areas of 1/2 a triangle later to find height.
Base 1 = 8 / 2 = 4
Explanation:
The altitude, divides the equilateral triangle into two 30^-60^-90^30∘−60∘−90∘ right triangles and divides the bottom side in half.
In a 30∘−60∘−90∘ right triangle, the sides of the triangle equal x, x3–√, and 2x. In these equations x equals the length of the smallest side, which in our triangle is s2 or 3–√2 = 3/2
Therefore h = x square of 3
therefore x = square 3 / 2
therefore h = square 3/ 2 x square 3/1 = 3/2
Therefore Height = 3/2 = 3.46
To find area we 1/2 base x height
= 4 x 3.46 = 13.84 for one shaded half triangle.
12 shaded from 6 = 13.84 x 12=166.08^2