The expressions represent the area of the entire shaded region, including the light and dark shading will be (6a + b) cm².
What is the definition of an Equilateral Triangle?
An equilateral triangle is one where all three sides are the same length and the angles are likewise the same length. An equilateral triangle is also called an equiangular triangle.
The area of light shading is found as the area of six congruent equilateral triangles.
[tex]\rm A_1 = 6a cm^2[/tex]
The area of dark shading is found as the area of a regular hexagon;
[tex]\rm A_2 = b \ cm^2[/tex]
The total area is found as the sum of the area of light shading as well as the dark shading ;
[tex]\rm A = A_1+A_2 \\\\ \rm A = (6a+b) \ cm^2[/tex]
Hence the expressions represent the area of the entire shaded region, including the light and dark shading will be (6a - b) cm².
To learn more about the equilateral triangle refer to the link;
https://brainly.com/question/3461022
