Question

The area of triangle ABC is divided into four equal parts by segments parallel to the base BC. DC is 36 cm. A is the top point of the triangle.

What is the ratio of the dimensions of triangle ADE to the dimensions of triangle ABC?

Answer 1

Notice you have similar triangles.

In more than one of your previous posts, I have shown you that the
areas of similar shapes are proportional to the SQUARES of their corresponding sides.

Apply that principle here.

Answer 2

I see. I understand now. Thanks for your support.