Question

The equilateral triangles overlap as in the figure below.​

Answer 1

Answer:

hope it's helpful to you!

Step-by-step explanation:

As per the question, above two congruent and equilateral triangles are places on top of each. So, the shaded part is hexagon overlap and we need to find it’s area.

It can be split as below:

Now, the shaded part is seen as 6 equilateral triangles. Also, if we just consider a single big triangle (top/bottom one) as a whole, it has 9 small triangles where 6 triangles are shaded ones.

i.e., the shaded part is (6/9) of each triangle.

So, area of this shaded part is (6/9)* area of triangle = (6/9)* 27 = 18 sq. cm