The shape that we have here is sued to show the infinite geometric progression.
<h3>What is geometric progression?</h3>
This is the sequence of numbers that has all the other values in the sequence gotten by the multiplication of a certain factor
In this question or the shape we can see that the triangle is made up of smaller other triangles embedded in it.
The area of the traingle that is in the red color is seen to have been made up of 1/3 of the total triangles that we have in the shape. This can be seen to be similar as the triangles that are represented by the green and the blue color.
Putting a lot of triangles inside one big triangle gives up a pictorial diagram on how to add infinite amount of things up.
Read more on triangles here:
brainly.com/question/17335144
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The answer to your question is option b
Firstly, we need to draw triangle
we know that
O is a centroid
and centroid divides median into 2:1
so,

we have FO=4
so, we can plug it


now, we can find CF
CF=OC+FO
CF=8+4
CF=12
now, we can see triangle ACF is a right angled triangle
so, we can use pythagoras theorem

now, we can solve for x



Since, it is equilateral triangle
so,

we know that
E is a mid-point
so,

now, we can plug values

................Answer
Answer: 200x^2y+640x^2+1010xy+3232x-2380y-7616
Step-by-step explanation:
((8x−14)(5y+16))(5x+34)
((8x−14)(5y+16))(5x)+((8x−14)(5y+16))(34)
200x2y+640x2−350xy−1120x+1360xy+4352x−2380y−7616
200x2y+640x2+1010xy+3232x−2380y−7616